The N=4 SYM Integrable Super Spin Chain

Abstract

Recently it was established that the one-loop planar dilatation generator of N=4 Super Yang-Mills theory may be identified, in some restricted cases, with the Hamiltonians of various integrable quantum spin chains. In particular Minahan and Zarembo established that the restriction to scalar operators leads to an integrable vector so(6) chain, while recent work in QCD suggested restricting to twist operators, containing mostly covariant derivatives, yields certain integrable Heisenberg XXX chains with non-compact spin symmetry sl(2). Here we unify and generalize these insights and argue that the complete one-loop planar dilatation generator of N=4 is described by an integrable su(2,2|4) super spin chain. We also write down various forms of the associated Bethe ansatz equations, whose solutions are in one-to-one correspondence with the set of all one-loop planar anomalous dimensions in the N=4 gauge theory. We finally speculate on the non-perturbative extension of these integrable structures, which appears to involve non-local deformations of the conserved charges.

25 pages, v2: discussion of developments in QCD improved, references added, minor corrections, v3: published version

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• Hidden Symmetries of the AdS_5 x S^5 Superstring
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Cited by in corpus (542)

• Iteration of Planar Amplitudes in Maximally Supersymmetric Yang-Mills Theory at Three Loops and Beyond
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• Long-Range PSU(2,2|4) Bethe Ansaetze for Gauge Theory and Strings
• Bethe Ansatz for Quantum Strings
• The Amplituhedron
• The Complete One-Loop Dilatation Operator of N=4 Super Yang-Mills Theory
• Classical/quantum integrability in AdS/CFT
• Giant Magnons
• Three-loop universal anomalous dimension of the Wilson operators in N=4 SUSY Yang-Mills model
• The Four-Loop Planar Amplitude and Cusp Anomalous Dimension in Maximally Supersymmetric Yang-Mills Theory
• A Novel Long Range Spin Chain and Planar N=4 Super Yang-Mills
• The Factorized S-Matrix of CFT/AdS
• The AdS_5xS^5 superstring worldsheet S-matrix and crossing symmetry
• Foundations of the AdS_5 x S^5 Superstring. Part I
• The Dilatation Operator of N=4 Super Yang-Mills Theory and Integrability
• Lax Pair for Strings in Lunin-Maldacena Background
• The su(2|3) Dynamic Spin Chain
• The Two-Loop Six-Gluon MHV Amplitude in Maximally Supersymmetric Yang-Mills Theory
• A Crossing-Symmetric Phase for AdS_5 x S^5 Strings
• Spin chains and string theory
• Spinning strings in AdS_5 x S^5 and integrable systems
• Wrapping interactions and a new source of corrections to the spin-chain/string duality
• Spinning strings in AdS_5 x S^5: new integrable system relations
• The Algebraic Curve of Classical Superstrings on AdS_5xS^5
• Four-loop perturbative Konishi from strings and finite size effects for multiparticle states
• Maximally Supersymmetric Planar Yang-Mills Amplitudes at Five Loops
• Quantum corrections to the string Bethe ansatz
• Planar N=4 gauge theory and the Inozemtsev long range spin chain
• A Relation Between Approaches to Integrability in Superconformal Yang-Mills Theory
• Derivation of the action and symmetries of the q-deformed AdS_5 x S^5 superstring
• Matching Higher Conserved Charges for Strings and Spins
• Precision Spectroscopy of AdS/CFT
• Gauge-string duality for superconformal deformations of N=4 Super Yang-Mills theory
• Beauty and the Twist: The Bethe Ansatz for Twisted N=4 SYM
• Integrable Hamiltonian for Classical Strings on AdS_5 x S^5
• The all loop AdS4/CFT3 Bethe ansatz
• An Operator Product Expansion for Polygonal null Wilson Loops
• Spinning strings and AdS/CFT duality
• BFKL Pomeron, Reggeized gluons and Bern-Dixon-Smirnov amplitudes
• Into the Amplituhedron
• The Analytic Bethe Ansatz for a Chain with Centrally Extended su(2|2) Symmetry
• Superconformal symmetry and two-loop amplitudes in planar N=4 super Yang-Mills
• Jumpstarting the all-loop S-matrix of planar N=4 super Yang-Mills
• Dressing and Wrapping
• Quantum spectral curve for arbitrary state/operator in AdS${}_5$/CFT${}_4$
• String hypothesis for the AdS_5 x S^5 mirror
• T-systems and Y-systems in integrable systems
• Deformations of N=4 SYM and integrable spin chain models
• Spinning strings and integrable spin chains in the AdS/CFT correspondence
• A Test of the AdS/CFT Correspondence Using High-Spin Operators
• Four loop twist two, BFKL, wrapping and strings
• Anomalous dimensions of high-spin operators beyond the leading order
• Magnon Bound States and the AdS/CFT Correspondence
• On Quantum Corrections to Spinning Strings and Bethe Equations
• A Shortcut to the Q-Operator
• Semiclassical relativistic strings in S^5 and long coherent operators in N=4 SYM theory
• Quantum Deformations of the One-Dimensional Hubbard Model
• Planar N=4 Gauge Theory and the Hubbard Model
• Dyonic Giant Magnons
• Large spin limits of AdS/CFT and generalized Landau-Lifshitz equations
• Algebraic Curve for the SO(6) sector of AdS/CFT
• Yang-Mills Duals for Semiclassical Strings
• Large N BPS states and emergent quantum gravity
• Small deformations of supersymmetric Wilson loops and open spin-chains
• The SU(3) spin chain sigma model and string theory
• Wrapping interactions at strong coupling -- the giant magnon
• Classical/quantum integrability in non-compact sector of AdS/CFT
• One-loop four-point amplitudes in pure and matter-coupled N <= 4 supergravity
• Integrable open spin chains from giant gravitons
• On Integrability of Classical SuperStrings in AdS_5 x S^5
• Five-Loop Anomalous Dimension of Twist-Two Operators
• Supersymmetric states of N=4 Yang-Mills from giant gravitons
• Logarithmic corrections to higher twist scaling at strong coupling from AdS/CFT
• Five loop Konishi from AdS/CFT
• Higher Spin Symmetry and N=4 SYM
• Twistor-Space Recursive Formulation of Gauge-Theory Amplitudes
• From gauge-string duality to strong interactions: a Pedestrian's Guide
• Diagonal free field matrix correlators, global symmetries and giant gravitons
• 1/2-BPS states in M theory and defects in the dual CFTs
• Extended Y-system for the $Ad{S}_5/CF{T}_4$ correspondence
• Matching quantum strings to quantum spins: one-loop vs. finite-size corrections
• The Algebraic Curve of 1-loop Planar N=4 SYM
• The AdS4/CFT3 algebraic curve
• On the Hopf algebra structure of the AdS/CFT S-matrix
• Integrability and Transcendentality
• Complete Spectrum of Long Operators in N=4 SYM at One Loop
• One-Loop Superconformal and Yangian Symmetries of Scattering Amplitudes in N=4 Super Yang-Mills
• Evidence for a Nonplanar Amplituhedron
• Exciting the GKP string at any coupling
• The Strong Coupling Limit of the Scaling Function from the Quantum String Bethe Ansatz
• A three-loop test of the dilatation operator in N=4 SYM
• A Generalized Scaling Function for AdS/CFT
• Two loop integrability for Chern-Simons theories with N=6 supersymmetry
• Quantum corrections to spinning strings in AdS(5)xS(5) and Bethe ansatz: a comparative study
• Long-Range Deformations for Integrable Spin Chains
• All loop BMN state energies from matrices
• Giant Gravitons - with Strings Attached (III)
• Three-Point Functions in N=4 SYM Theory at One-Loop
• Giant Gravitons - with Strings Attached (II)
• The Four-Loop Konishi in N=4 SYM
• Yang-Mills Correlation Functions from Integrable Spin Chains
• Towards integrability for AdS3/CFT2
• A Universality Test of the Quantum String Bethe Ansatz
• Dressing the Giant Magnon
• Quantum folded string and integrability: from finite size effects to Konishi dimension
• Structure constants of planar N =4 Yang Mills at one loop
• Massive N=2 Gauge Theories at Large N
• The Bethe ansatz approach for factorizable centrally extended S-matrices
• On the spectrum of AdS/CFT beyond supergravity
• N=4 SUSY Yang--Mills: three loops made simple(r)
• Higher Impurity AdS/CFT Correspondence in the Near-BMN Limit
• Stringy sums and corrections to the quantum string Bethe ansatz
• Dilatation operator in (super-)Yang-Mills theories on the light-cone
• A study of open strings ending on giant gravitons, spin chains and integrability
• Brane Partons and Singleton Strings
• Bethe Ansatz for a Quantum Supercoset Sigma Model
• Semiclassical Bethe Ansatz and AdS/CFT
• The Classical r-matrix of AdS/CFT and its Lie Bialgebra Structure
• Superconformal operators in N=4 super-Yang-Mills theory
• Lectures on Yangian Symmetry
• Gauge invariant finite size spectrum of the giant magnon
• Strong coupling limit of Bethe Ansatz equations
• On spin chains and field theories
• Exact expressions for quantum corrections to spinning strings
• Integrability of scattering amplitudes in N=4 SUSY
• Finite size Giant Magnons in the string dual of N=6 superconformal Chern-Simons theory
• Anomalous dimensions at four loops in N=6 superconformal Chern-Simons theories
• New Integrable System of 2dim Fermions from Strings on AdS_5 x S^5
• Bethe Ansatz in Stringy Sigma Models
• SL(2) spin chain and spinning strings on AdS_5xS^5
• Renormalization group coefficients and the S-matrix
• The Algebra of Transition Matrices for the AdS_5 x S^5 Superstring
• The magnon kinematics of the AdS/CFT correspondence
• Bootstrapping Null Polygon Wilson Loops
• The Four-Loop Dressing Phase of N=4 SYM
• Dressing the Giant Magnon II
• An integrable spin chain for the SL(2,R)/U(1) black hole sigma model
• A double coset ansatz for integrability in AdS/CFT
• Higher loops, integrability and the near BMN limit
• One-loop one-point functions in gauge-gravity dualities with defects
• New Integrable Structures in Large-N QCD
• Speeding Strings
• Magnon dispersion to four loops in the ABJM and ABJ models
• World-sheet scattering in AdS_5 x S^5 at two loops
• Quantum integrability in (super) Yang-Mills theory on the light-cone
• One-Loop QCD Spin Chain and its Spectrum
• Harmonic R-matrices for Scattering Amplitudes and Spectral Regularization
• (Non)-Integrability of Geodesics in D-brane Backgrounds
• Y-system, TBA and Quasi-Classical Strings in AdS4 x CP3
• Higher Loops Beyond the SU(2) Sector
• Magnons, Classical Strings and beta-Deformations
• On the Integrability of large N Plane-Wave Matrix Theory
• Integrable Open Spin Chains in Defect Conformal Field Theory
• Brane Effective Actions, Kappa-Symmetry and Applications
• Constructing the AdS/CFT dressing factor
• Two-loop Integrability of Planar N=6 Superconformal Chern-Simons Theory
• Strings as Multi-Particle States of Quantum Sigma-Models
• Embedding nonlinear O(6) sigma model into N=4 super-Yang-Mills theory
• Functional BES equation
• Finite size effects in ferromagnetic spin chains and quantum corrections to classical strings
• Planar plane-wave matrix theory at the four loop order: Integrability without BMN scaling
• Quantum Mechanical Sectors in Thermal N=4 Super Yang-Mills on RxS^3
• Pulsating Strings on AdS_5 x S^5
• On Drinfeld's second realization of the AdS/CFT su(2|2) Yangian
• Finite size effects for giant magnons on physical strings
• Yang-Baxter operators and scattering amplitudes in $\mathcal{N}=4$ super-Yang-Mills theory
• N-Impurity Superstring Spectra Near the pp-Wave Limit
• Light-like polygonal Wilson loops in 3d Chern-Simons and ABJM theory
• Non-local charges on AdS_5 x S^5 and PP-waves
• Classical Open String Integrability
• More on La Grande Bouffe: towards higher spin symmetry breaking in AdS
• Oscillator Construction of su(n|m) Q-Operators
• Spectral Parameters for Scattering Amplitudes in N=4 Super Yang-Mills Theory
• Three-spin Strings on AdS_5 x S^5 from N=4 SYM
• Open Spin Chain and Open Spinning String
• The classical R-matrix of AdS/CFT and its Lie dialgebra structure
• Boosting Nearest-Neighbour to Long-Range Integrable Spin Chains
• Long-Range GL(n) Integrable Spin Chains and Plane-Wave Matrix Theory
• Semiclassical strings and AdS/CFT
• Quantum integrability and functional equations
• Spin chain sigma models with fermions
• Gravity On-shell Diagrams
• An Integrability Primer for the Gauge-Gravity Correspondence: an Introduction
• Higher Conserved Charges and Integrability for Spinning Strings in AdS_5 x S^5
• Amplitudes, Form Factors and the Dilatation Operator in $\mathcal{N}=4$ SYM Theory
• Classical r-matrix of the su(2|2) SYM spin-chain
• Review of AdS/CFT Integrability, Chapter I.1: Spin Chains in N=4 Super Yang-Mills
• N=4 SYM to Two Loops: Compact Expressions for the Non-Compact Symmetry Algebra of the su(1,1|2) Sector
• Non-integrability in non-relativistic theories
• The Bethe Ansatz for Z_S Orbifolds of N=4 Super Yang-Mills Theory
• A Secret Symmetry of the AdS/CFT S-matrix
• Finite-Size Corrections to Anomalous Dimensions in N=4 SYM Theory
• Open Spinning Strings
• On Yangian Symmetry in Planar N=4 SYM
• Yangian Symmetries of Matrix Models and Spin Chains: The Dilatation Operator of $\mathcal{N}$$=4$ SYM
• Integrable Open Spin Chain in Super Yang-Mills and the Plane-wave/SYM duality
• Matching the Hagedorn temperature in AdS/CFT
• The Classical Exchange Algebra of AdS5 x S5 String Theory
• A Pendant for Polya: The One-Loop Partition Function of N=4 SYM on R x S^3
• Tailoring Non-Compact Spin Chains
• Super spin chain coherent state actions and $Ad{S}_5\times S^5$ superstring
• Quantum simulation of quantum field theories as quantum chemistry
• Finite Size Giant Magnon
• The algebra of flat currents for the string on AdS_5 x S^5 in the light-cone gauge
• Long-range SL(2) Baxter equation in N=4 super-Yang-Mills theory
• Analytic three-loop Solutions for N=4 SYM Twist Operators
• Review of AdS/CFT Integrability, Chapter II.4: The Spectral Curve
• Integrable Spin Chain and Operator Mixing in N=1,2 Supersymmetric Theories
• Semiclassical Strings on AdS_5 x S^5/Z_M and Operators in Orbifold Field Theories
• Open Spin Chains in Super Yang-Mills at Higher Loops: Some Potential Problems with Integrability
• Supersymmetric null-surfaces
• The general Leigh-Strassler deformation and integrability
• Strong coupling for planar $\mathcal{N}=4$ SYM theory: an all-order result
• A Yangian Double for the AdS/CFT Classical r-matrix
• The Asymptotic Spectrum of the N=4 Super Yang-Mills Spin Chain
• Slow evolution of nearly-degenerate extremal surfaces
• High Energy Scattering in the AdS/CFT Correspondence
• Six-Loop Anomalous Dimension of Twist-Three Operators in N=4 SYM
• Stratifying On-Shell Cluster Varieties: the Geometry of Non-Planar On-Shell Diagrams
• Integrability of two-loop dilatation operator in gauge theories
• Flat Currents of the Green-Schwarz Superstrings in AdS_5 x S^1 and AdS_3 x S^3 backgrounds
• Spinning strings in AdS_3 x S^3 with NS-NS flux
• Duality between Wilson loops and gluon amplitudes
• Integrable Open Spin Chains and the Doubling Trick in N = 2 SYM with Fundamental Matter
• Three-Spin Giant Magnons in AdS_5xS^5
• Finite size giant magnons in the SU(2) x SU(2) sector of AdS_4 x CP^3
• Proof of all-order finiteness for planar beta-deformed Yang-Mills
• 1/J^2 corrections to BMN energies from the quantum long range Landau-Lifshitz model
• Holography of Two-point Functions in the Spinning String/Spin Chain Correspondence
• Analytical Bethe Ansatz for closed and open gl(M|N) super-spin chains in arbitrary representations and for any Dynkin diagram
• Linking Backlund and Monodromy Charges for Strings on AdS_5 x S^5
• On Symmetry Enhancement in the psu(1,1|2) Sector of N=4 SYM
• Fine structure of anomalous dimensions in N=4 super Yang-Mills theory
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• Spin bit models from non-planar N=4 SYM
• Reduced sigma-model on AdS_5 x S^5: one-loop scattering amplitudes
• A new derivation of Luscher F-term and fluctuations around the giant magnon
• Higher-Loop Integrability in N=4 Gauge Theory
• Bethe ansatz and fluctuations in SU(3) Yang-Mills operators
• Towards Baxter equation in supersymmetric Yang-Mills theories
• The Chern-Simons Origin of Superstring Integrability
• Three-point functions in planar N=4 super Yang-Mills Theory for scalar operators up to length five at the one-loop order
• Analytical Bethe Ansatz for closed and open gl(n)-spin chains in any representation
• Symmetries of the N=4 SYM S-matrix
• Dilatation operator and the Super Yang-Mills duals of open strings on AdS Giant Gravitons
• Quantum string integrability and AdS/CFT
• Dual Conformal Structure Beyond the Planar Limit
• Reflecting magnons from D7 and D5 branes
• Fluctuations and Energy Shifts in the Bethe Ansatz
• Beyond cusp anomalous dimension from integrability
• On the finite size corrections of anti-ferromagnetic anomalous dimensions in $\mathcal{N}=4$ SYM
• Weakly Renormalized Near 1/16 SUSY Fermi Liquid Operators in N = 4 SYM
• The Circular, Elliptic Three Spin String from the SU(3) Spin Chain
• Three loop anomalous dimensions of twist-3 gauge operators in N=4 SYM
• Generalized Dynamical Spin Chain and 4-Loop Integrability in N=6 Superconformal Chern-Simons Theory
• Interacting finite-size magnons
• Discrete Hirota dynamics for AdS/CFT
• Decoupling limits of N=4 super Yang-Mills on R x S^3
• Higher Loop Bethe Ansatz for Open Spin-Chains in AdS/CFT
• Surprises from the Resolution of Operator Mixing in N = 4 SYM
• Wound and Rotating Strings in AdS_5 x S^5
• The full spectrum of AdS5/CFT4 I: Representation theory and one-loop Q-system
• Anomalous dimensions at twist-3 in the sl(2) sector of N=4 SYM
• Correlation functions of magnon and spike
• Zero modes for the giant magnon
• Leading transcedental contribution to the four-loop universal anomalous dimension in N=4 SYM
• Drinfeld second realization of the quantum affine superalgebras of $D^{(1)}(2,1;x)$ via the Weyl groupoid
• Higher Spins and Stringy AdS5xS5
• Comments on the Boundary Scattering Phase
• Quasilocality of joining/splitting strings from coherent states
• Luescher formula for GKP string
• Multi-spin strings on AdS(5)xT(1,1) and operators of N=1 superconformal theory
• Open Semiclassical Strings and Long Defect Operators in AdS/dCFT Correspondence
• Open string integrability and AdS/CFT
• On the Scattering Phase for AdS_5 x S^5 Strings
• N=2 Super Yang-Mills and the XXZ spin chain
• Reflecting Magnon Bound States
• The generalised scaling function: a note
• Integrable Spin Chains with U(1)^3 symmetry and generalized Lunin-Maldacena backgrounds
• Spin Models and Superconformal Yang-Mills Theory
• Semiclassical strings in AdS_5 x S^5 and scalar operators in N=4 SYM theory
• Dual Spikes; New Spiky String Solutions
• BPS Chaos
• Three-loop octagons and n-gons in maximally supersymmetric Yang-Mills theory
• Factorized world-sheet scattering in near-flat AdS_5 x S^5
• Spiky Strings and Spin Chains
• Quarter BPS classified by Brauer algebra
• Bethe Ansatz Equations for General Orbifolds of N=4 SYM
• The SU(2) sector in AdS/CFT
• A two-loop test for the factorised S-matrix of planar N=4
• Folded Three-Spin String Solutions in AdS_5 x S^5
• On the Scattering of Magnon Boundstates
• On instanton contributions to anomalous dimensions in N=4 supersymmetric Yang-Mills theory
• Quantum deformed magnon kinematics
• Landau-Lifshitz sigma-models, fermions and the AdS/CFT correspondence
• Baxter equation for long-range SL(2|1) magnet
• Fermion BMN operators, the dilatation operator of N=4 SYM, and pp-wave string interactions
• Integrability in Yang-Mills theory on the light cone beyond leading order
• Lattice Super Yang-Mills: A Virial Approach to Operator Dimensions
• Non-compact quantum spin chains as integrable stochastic particle processes
• Yangian Symmetry at Two Loops for the su(2|1) Sector of N=4 SYM
• Yangian Symmetry of Long-Range gl(N) Integrable Spin Chains
• 6D SCFTs, 4D SCFTs, Conformal Matter, and Spin Chains
• Precision Test of AdS/CFT in Lunin-Maldacena Background
• Singularities of the Magnon Boundstate S-Matrix
• The Bethe Ansatz Equations for Reflecting Magnons
• Finite size corrections for open strings/open chains in planar AdS/CFT
• Extraction of parton distributions from lattice QCD
• The Leigh-Strassler Deformation and the Quest for Integrability
• Giant magnon bound states from strongly coupled N=4 SYM
• String theories on warped AdS backgrounds and integrable deformations of spin chains
• Analytic properties of high energy production amplitudes in N=4 SUSY
• A note on oscillating strings in $Ad{S}_3\times S^3$ with mixed three-form fluxes
• Unstable Giants
• Multi-spin string solutions in AdS Black Hole and confining backgrounds
• On two fermion BMN operators
• The Dilatation Operator of $\mathcal{N}$ $=$ 4 SYM and Classical Limits of Spin Chains and Matrix Models
• Open Spinning Strings and AdS/dCFT Duality
• Integrability of the evolution equations for heavy-light baryon distribution amplitudes
• Strong coupling expansion of Baxter equation in N=4 SYM
• Semiclassical Quantization of the Giant Magnon
• Superstring sigma models from spin chains: the SU(1,1|1) case
• The generalised scaling function: a systematic study
• Two-loop test of the N=6 Chern-Simons theory S-matrix
• Integrable spin chains and scattering amplitudes
• Correlation function of dyonic strings
• Quantum folded string in S^5 and the Konishi multiplet at strong coupling
• Superspin chains and supersymmetric gauge theories
• The Complete One-Loop Dilation Operator of N=2 SuperConformal QCD
• Pulsating strings on $(Ad{S}_3\times S^3{)}_{\varkappa }$
• Quantum Symmetries and Marginal Deformations
• Quantum Spectral Curve of $\gamma$-twisted $\mathcal{N}=4$ SYM theory and fishnet CFT
• Exactly solvable models in atomic and molecular physics
• Yangian Symmetry for the Action of Planar N=4 Super Yang-Mills and N=6 Super Chern-Simons Theories
• Rotating Strings with Two Unequal Spins in Lunin-Maldacena Background
• The One-Loop Spectral Problem of Strongly Twisted $\mathcal{N}$=4 Super Yang-Mills Theory
• Weakly coupled N=4 Super Yang-Mills and N=6 Chern-Simons theories from u(2|2) Yangian symmetry
• Three-Point Functions of Twist-Two Operators in N=4 SYM at One Loop
• Integrability of N=6 Chern-Simons Theory at Six Loops and Beyond
• The high energy behavior of QCD: The effective action and the triple-Pomeron-vertex
• Quantum group approach to steady states of boundary-driven open quantum systems
• Integrability and Higher Loops in AdS/dCFT Correspondence
• Fusion hierarchies for N = 4 superYang-Mills theory
• The su(2|3) Undynamic Spin Chain
• Circular and Folded Multi-Spin Strings in Spin Chain Sigma Models
• Strings on conifolds from strong coupling dynamics, part I
• Duality Relations for Overlaps of Integrable Boundary States in AdS/dCFT
• Sigma model from SU(1,1|2) spin chain
• On highest-energy state in the su(1|1) sector of N=4 super Yang-Mills theory
• Three-point correlation functions from semiclassical circular strings
• Integrability and non-perturbative effects in the AdS/CFT correspondence
• Logarithmic Corrections to the Entanglement Entropy
• Magnon like solutions for strings in I-brane background
• Aspects of Integrability in AdS/CFT Duality
• Classical Integrability and Super Yangian of Superstring on AdS_5 x S^5
• Qubit Construction in 6D SCFTs
• A large spin limit of strings on AdS_5 x S^5 in a non-compact sector
• The non-planar contribution to the four-loop anomalous dimension of twist-2 operators: first moments in N=4 SYM and non-singlet QCD
• On circular strings in $(Ad{S}_3\times S^3{)}_{\varkappa }$
• DMRG Simulation of the SU(3) AFM Heisenberg Model
• Finite size effect on the magnon's correlation functions
• Analytical Bethe Ansatz for open spin chains with soliton non preserving boundary conditions
• Anomalous dimension and local charges
• Spiky strings in $\varkappa$-deformed $AdS$
• Conformal Invariance in the Leigh-Strassler deformed N=4 SYM Theory
• Rational three-spin string duals and non-anomalous finite size effects
• On matrix models for anomalous dimensions of super Yang-Mills theory
• Open Perturbatively Long-Range Integrable gl(N) Spin Chains
• Non-planar universal anomalous dimension of twist-two operators with general Lorentz spin at four loops in N=4 SYM theory
• Bethe ansatz equations for open spin chains from giant gravitons
• Structure of the string R-matrix
• Worldsheet scattering for the GKP string
• Six-loop anomalous dimension of twist-two operators in planar N=4 SYM theory
• Determinant representations for form factors in quantum integrable models with GL(3)-invariant R-matrix
• Integrable Spin Chains on the Conformal Moose
• Finite size corrections and integrability of $\mathcal{N}=2$ SYM and DLCQ strings on a pp-wave
• On the Spectrum of the AdS_5xS^5 String at large lambda
• Characters of the Positive Energy UIRs of D=4 Conformal Supersymmetry
• Toy models for wrapping effects
• Kinky Strings in AdS_5 x S^5
• Invariants and reduced matrix elements associated with the Lie superalgebra gl(m|n)
• Issues on magnon reflection
• Konishi at strong coupling from ABE
• Finite-size corrections to the rotating string and the winding state
• Superstring in the plane-wave background with RR flux as a conformal field theory
• Chaotic spin chains in AdS/CFT
• More Pendants for Polya: Two loops in the SU(2) sector
• Non-planar anomalous dimension of twist-2 operators: higher moments at four loops
• Integrability and MHV diagrams in N=4 supersymmetric Yang-Mills theory
• One-Loop Spectroscopy of Scalar Three-Point Functions in planar N=4 super Yang-Mills Theory
• Spiky Strings and Giant Holes
• On the $Ad{S}_5/CF{T}_4$ TBA and its analytic properties
• The Anatomy of Gauge/String Duality in Lunin-Maldacena Background
• New aspects of the BMN correspondence beyond the planar limit
• The Morphology of N=6 Chern-Simons Theory
• Quantum Integrable Systems from Supergroup Gauge Theories
• Twist-2 at five loops: Wrapping corrections without wrapping computations
• On the high spin expansion in the $sl(2)$ $\mathcal{N}=4$ SYM theory
• Nesting and Dressing
• The two-loop dilatation operator of N=4 super Yang-Mills theory in the SO(6) sector
• On string integrability. A journey through the two-dimensional hidden symmetries in the AdS/CFT dualities
• Wess-Zumino terms for AdS D-branes
• Integrability ex machina
• Hints of Integrability Beyond the Planar Limit: Nontrivial Backgrounds
• Double-logs, Gribov-Lipatov reciprocity and wrapping
• Nonlocal charges of T-dual strings
• Positivity Sectors and the Amplituhedron
• On the logarithmic powers of $sl(2)$ SYM${}_4$
• Fermions and scalars in $\mathcal{N}=4$ Wilson loops at strong coupling and beyond
• ABJM quantum spectral curve and Mellin transform
• Large spin expansion of the long-range Baxter equation in the sl(2) sector of N=4 SYM
• Near-flat space limit and Einstein manifolds
• On the scattering of gluons in the GKP string
• Spin bits at two loops
• Correlators on the wall and ${\mathfrak{sl}}_n$ spin chain
• Magnons and BFKL
• Spiky Strings on I-brane
• Baxter equation beyond wrapping
• Open giant magnons on LLM geometries
• Super-Spin Chains for 6D SCFTs
• Quantum fluctuations of rotating strings in AdS_5 x S^5
• Reflection matrices for the $U_q[sl(m|n{)}^{(1)}]$ vertex model
• Giant Magnons of String Theory in the Lambda Background
• Symmetries of M-theory and free Lie superalgebras
• A Spin Chain from String Theory
• Yangians in Integrable Field Theories, Spin Chains and Gauge-String Dualities
• New Penrose Limits and AdS/CFT
• On the origin of the dressing phase in N=4 Super Yang-Mills
• Algebraic Bethe ansatz for U(1) Invariant Integrable Models: Compact and non-Compact Applications
• Correlators with $s{\ell }_2$ Yangian symmetry
• Gauge Theories as String Theories: the First Results
• Testing the nested light-cone Bethe equations of the AdS_5 x S^5 superstring
• One-Loop Non-Planar Anomalous Dimensions in Super Yang-Mills Theory
• Strong Wilson polygons from the lodge of free and bound mesons
• On the Integrability of String Theory in AdS_5 x S^5
• Parton interaction in super Yang Mills theory
• The Complete One-loop Spin Chain of N =1 SQCD
• Zero Modes for the Boundary Giant Magnons
• Spin chain for the deformed ABJM theory
• The contribution of scalars to $\mathcal{N}=4$ SYM amplitudes II: Young tableaux, asymptotic factorisation and strong coupling
• TBA-like equations and Casimir effect in (non-)perturbative AdS/CFT
• From nesting to dressing
• Large-Spin and Large-Winding Expansions of Giant Magnons and Single Spikes
• Higher Charges in Dynamical Spin Chains for SYM Theory
• On the breakdown of perturbative integrability in large N matrix models
• Non-perturbative effects in the BMN limit of N=4 supersymmetric Yang-Mills
• Classical Exchange Algebra of the Superstring on S^5 with the AdS-time
• N=1 SQCD and the Transverse Field Ising Model
• The dual string sigma-model of the SU_q(3) sector
• OPE in planar QCD from integrability
• Strong coupling from the Hubbard model
• Quasiclassical Geometry and Integrability of AdS/CFT Correspondence
• Integrability and the AdS/CFT correspondence
• Asymptotic Bethe equations for open boundaries in planar AdS/CFT
• Semiclassical strings in AdS(3) X S^2
• Large N Reductions and Holography
• Analytic Bethe Ansatz and Baxter equations for long-range psl(2|2) spin chain
• Is there a tower of charges to be discovered?
• Lessons in quantum gravity from quantum field theory
• Generalized Gribov-Lipatov Reciprocity and AdS/CFT
• Graph duality as an instrument of Gauge-String correspondence
• Integrability treatment of AdS/CFT orbifolds
• Giant Holes
• Anatomy of the Amplituhedron
• Close to the Giant Magnons
• Spinning Strings on Deformed AdS_5 x T^{1,1} with NS B-field
• S-duality and the giant magnon dispersion relation
• Worldsheet dilatation operator for the $AdS$ superstring
• Reciprocity and integrability in the sl(2) sector of N=4 SYM
• On Yangian symmetry of scattering amplitudes and the dilatation operator in N=4 super Yang-Mills
• On dilatation operator for a renormalizable theory
• The high spin expansion of twist sector dimensions: the planar N=4 super Yang-Mills theory
• S-duality invariant perturbation theory improved by holography
• QCD-like properties for anomalous dimensions in N=4 SYM
• Correlation functions of the ABJM model
• Logarithmic Singularities and Maximally Supersymmetric Amplitudes
• Orthogonal and symplectic Yangians - linear and quadratic evaluations
• Semiclassical Strings on Curved Branes
• Wrapping effects in supersymmetric gauge theories
• On the Semi-Classical Limit of Scalar Products of the XXZ Spin Chain
• Excited States of Open Strings From $\mathcal{N}=4$ SYM
• Reduced matrix elements of the orthosymplectic Lie superalgebra
• Integrable systems and AdS/CFT duality
• ABJM quantum spectral curve at twist 1: algorithmic perturbative solution
• Quantum Strings and Bethe Equations
• Reflection matrices with $U_q[os{p}^{(2)}(2|2m)]$ symmetry
• Universal R operator with Jordanian deformation of conformal symmetry
• The Ising model and planar N=4 Yang-Mills
• Microscopic formulation of the S-matrix in AdS/CFT
• On analytical perturbative solution of ABJM quantum spectral curve
• Giant Spinons
• On the dynamics of BMN operators of finite size and the model of string bits
• Aspects of Integrability in N =4 SYM
• Rationality of the Anomalous Dimensions in N=4 SYM theory
• Nonplanar Four-Loop Anomalous Dimensions of Twist-Two Operators in N=4 Super Yang-Mills Theory: Higher Moment, General Result, and Cusp Anomalous Dimension
• DGLAP and BFKL equations in $\mathcal{N}=4$ SYM: from weak to strong coupling
• BMN operators with a scalar fermion pair and operator mixing in N=4 Super Yang-Mills Theory
• Neumann-Rosochatius system for (m,n) string in $Ad{S}_3\times S^3$ with mixed flux
• Consistently Constrained SL(N) WZWN Models and Classical Exchange Algebra
• Neumann-Rosochatius system for strings in ABJ Model
• Killing scalar of non-linear sigma models on G/H realizing the classical exchange algebra
• Commuting Conformal and Dual Conformal Symmetries in the Regge limit
• Reflection $K$-matrices for a nineteen vertex model with $U_q[\mathrm{osp}{\left(2|2\right)}^{\left(2\right)}]$ symmetry
• Perturbative Methods for Superconformal Quantum Field Theories in String - Gauge Theory Dualities
• On Rotating and Oscillating Four-Spin Strings in AdS5 X S5
• Fermion zero modes for the mixed-flux AdS${}_3$ giant magnon
• The SU(2) Long Range Bethe Ansatz and Continuous Integrable Systems
• Quantum dispersion relations for the $Ad{S}_4\times C{P}^3$ GKP string
• Complex D($2,1;\zeta$) and spin chain solutions from Chern-Simons theory
• Gauge-String Dualities and Some Applications
• Semiclassical Strings in Supergravity PFT
• Generalized Calogero-Moser system and supergroup gauge origami
• Constrained WZWN Models on G/{S x U(1)^n} and Exchange Algebra of G-Primaries
• Grassmannian Integrals in Minkowski Signature, Amplitudes, and Integrability
• Large N and Bethe ansatz
• Exact Results in Supersymmetric Gauge Theories
• Lee-Yang Model in Presence of Defects
• 12 loops and triple wrapping in ABJM theory from integrability
• Semiclassical quantization of the mixed-flux AdS${}_3$ giant magnon
• Finite size effect from classical strings in $Ad{S}_3\times S^3$ with NS-NS flux
• The QCD spin chain S matrix
• Jordanian spin chains for twisted strings in $Ad{S}_5\times S^5$
• Finite Size Effect from Classical Strings in deformed AdS${}_3\times$ S${}^3$
• The SU(1|2) and SU(2|2) Sectors from Superstrings in AdS5 x S5
• Yangian symmetry applied to Quantum chromodynamics
• Neumann-Rosochatius system for strings on I-brane
• Integrability and scattering of the boson field theory on a lattice
• Hawking-Page transition on a spin chain
• A hitchhiker's guide to quantum field theoretic aspects of $\mathcal{N}=4$ SYM theory and its deformations
• Superstring in the pp-wave background with RR flux as a conformal field theory
• Neumann-Rosochatius system for rotating strings in $Ad{S}_3\times S^3\times S^3\times S^1$ with flux
• A Young diagram expansion of the hexagonal Wilson loop (amplitude) in $\mathcal{N}=4$ SYM
• Supersymmetric String Configurations in Ad${\mathbb{S}}_5\times {\mathbb{S}}^5$
• Representations of orthogonal and symplectic Yangians
• On the Integrable Structure of Super Yang-Mills Scattering Amplitudes
• Dynamical supersymmetry on the XXX spin chain
• D-branes, gauge/string duality and noncommutative theories
• Fermionic contribution to the anomalous dimension of twist-2 operators in N=4 SYM theory, critical indices and integrability
• Boundary Algebraic Bethe Ansatz for a nineteen vertex model with $U_q[\mathrm{osp}(2|2{)}^{(2)}]$ symmetry
• On finite-size spiky strings in $Ad{S}_3\times S^3\times T^4$ with mixed fluxes
• A boundary matrix for AdS/CFT SU(1|1) spin chain
• QCD at high energies and Yangian symmetry