Classical/quantum integrability in AdS/CFT

Abstract

We discuss the AdS/CFT duality from the perspective of integrable systems and establish a direct relationship between the dimension of single trace local operators composed of two types of scalar fields in N=4 super Yang-Mills and the energy of their dual semiclassical string states in AdS(5) X S(5). The anomalous dimensions can be computed using a set of Bethe equations, which for ``long'' operators reduces to a Riemann-Hilbert problem. We develop a unified approach to the long wavelength Bethe equations, the classical ferromagnet and the classical string solutions in the SU(2) sector and present a general solution, governed by complex curves endowed with meromorphic differentials with integer periods. Using this solution we compute the anomalous dimensions of these long operators up to two loops and demonstrate that they agree with string-theory predictions.

49 pages, 5 figures, LaTeX; v2: complete proof of the two-loop equivalence between the sigma model and the gauge theory is added. References added; v4,v5,v6: misprints corrected

References in corpus (10)

• Spinning strings in AdS_5 x S^5: new integrable system relations
• Matching Higher Conserved Charges for Strings and Spins
• Speeding Strings
• On the Integrability of large N Plane-Wave Matrix Theory
• Integrable Open Spin Chains in Defect Conformal Field Theory
• Three-spin Strings on AdS_5 x S^5 from N=4 SYM
• Higher Conserved Charges and Integrability for Spinning Strings in AdS_5 x S^5
• Integrable Open Spin Chain in Super Yang-Mills and the Plane-wave/SYM duality
• Open Spinning Strings
• Integrable Spin Chain and Operator Mixing in N=1,2 Supersymmetric Theories

Cited by in corpus (362)

• Transcendentality and Crossing
• Long-Range PSU(2,2|4) Bethe Ansaetze for Gauge Theory and Strings
• Bethe Ansatz for Quantum Strings
• Giant Magnons
• 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
• Yangian symmetry of scattering amplitudes in N=4 super Yang-Mills theory
• Lax Pair for Strings in Lunin-Maldacena Background
• Integrability for the Full Spectrum of Planar AdS/CFT
• A Crossing-Symmetric Phase for AdS_5 x S^5 Strings
• Wrapping interactions and a new source of corrections to the spin-chain/string duality
• The Algebraic Curve of Classical Superstrings on AdS_5xS^5
• Four-loop perturbative Konishi from strings and finite size effects for multiparticle states
• Finite-size Effects from Giant Magnons
• Thermodynamic Bubble Ansatz
• Quantum corrections to the string Bethe ansatz
• Y-system for Scattering Amplitudes
• Integrability and the AdS(3)/CFT(2) correspondence
• Null polygonal Wilson loops and minimal surfaces in Anti-de-Sitter space
• 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
• On String S-matrix, Bound States and TBA
• The all loop AdS4/CFT3 Bethe ansatz
• Tailoring Three-Point Functions and Integrability
• Form factors at strong coupling via a Y-system
• Exact AdS/CFT spectrum: Konishi dimension at any coupling
• Dressing and Wrapping
• String hypothesis for the AdS_5 x S^5 mirror
• T-systems and Y-systems in integrable systems
• Spinning strings and integrable spin chains in the AdS/CFT correspondence
• On AdS_5 x S^5 String S-matrix
• One-point Functions in Defect CFT and Integrability
• Four loop twist two, BFKL, wrapping and strings
• Pohlmeyer reduction of AdS_5 x S^5 superstring sigma model
• Spiky strings and single trace operators in gauge theories
• On Quantum Corrections to Spinning Strings and Bethe Equations
• Semiclassical relativistic strings in S^5 and long coherent operators in N=4 SYM theory
• Planar N=4 Gauge Theory and the Hubbard Model
• On three-point correlation functions in the gauge/gravity duality
• Algebraic Curve for the SO(6) sector of AdS/CFT
• Small deformations of supersymmetric Wilson loops and open spin-chains
• Worldsheet Scattering in AdS_5 x S^5
• Classical/quantum integrability in non-compact sector of AdS/CFT
• Holographic three-point functions of semiclassical states
• Uniform Light-Cone Gauge for Strings in AdS_5 x S^5: Solving su(1|1) Sector
• The all-loop integrable spin-chain for strings on AdS_3 x S^3 x T^4: the massive sector
• On Integrability of Classical SuperStrings in AdS_5 x S^5
• Superdiffusion in spin chains
• Strings on Semisymmetric Superspaces
• Green-Schwarz Strings in TsT-transformed backgrounds
• Five loop Konishi from AdS/CFT
• One-point Functions in AdS/dCFT from Matrix Product States
• Gauge-string duality for (non)supersymmetric deformations of N=4 Super Yang-Mills theory
• The complete AdS_3 x S^3 x T^4 worldsheet S-matrix
• The AdS5xS5 Superstring in Light-Cone Gauge and its Bethe Equations
• 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
• Infinite spin limit of semiclassical string states
• The S-matrix of String Bound States
• On one-loop correction to energy of spinning strings in S^5
• On correlation functions of operators dual to classical spinning string states
• Superuniversality of superdiffusion
• Complete Spectrum of Long Operators in N=4 SYM at One Loop
• Classical integrability and quantum aspects of the AdS(3) x S(3) x S(3) x S(1) superstring
• Symmetries of Tree-level Scattering Amplitudes in N=6 Superconformal Chern-Simons Theory
• Dressing phases of AdS3/CFT2
• Spiky strings and giant magnons on S5
• Exciting the GKP string at any coupling
• A three-loop test of the dilatation operator in N=4 SYM
• A Generalized Scaling Function for AdS/CFT
• Quantum corrections to spinning strings in AdS(5)xS(5) and Bethe ansatz: a comparative study
• Superdiffusion from emergent classical solitons in quantum spin chains
• On the Dynamics of Finite-Gap Solutions in Classical String Theory
• Complete 1-loop test of AdS/CFT
• Analytic Solution of Bremsstrahlung TBA
• Yang-Mills Correlation Functions from Integrable Spin Chains
• On T-Duality and Integrability for Strings on AdS Backgrounds
• A Universality Test of the Quantum String Bethe Ansatz
• Wrapping interactions and the genus expansion of the 2-point function of composite operators
• Quantum folded string and integrability: from finite size effects to Konishi dimension
• The Bethe ansatz approach for factorizable centrally extended S-matrices
• Semiclassical strings in Sasaki-Einstein manifolds and long operators in N=1 gauge theories
• Stringy sums and corrections to the quantum string Bethe ansatz
• The arrow of time, black holes, and quantum mixing of large N Yang-Mills theories
• Correlation functions of three heavy operators - the AdS contribution
• Worldsheet scattering in AdS(3)/CFT(2)
• Near BMN dynamics of the AdS(3) x S(3) x S(3) x S(1) superstring
• The Dressing Factor and Crossing Equations
• Tailoring Three-Point Functions and Integrability III. Classical Tunneling
• Bethe Ansatz for a Quantum Supercoset Sigma Model
• Superstrings in AdS(2)xS(2)xT(6)
• Semiclassical Bethe Ansatz and AdS/CFT
• The Classical r-matrix of AdS/CFT and its Lie Bialgebra Structure
• A Symplectic Structure for String Theory on Integrable Backgrounds
• Integrability of scattering amplitudes in N=4 SUSY
• Exact expressions for quantum corrections to spinning strings
• A Perspective on Classical Strings from Complex Sine-Gordon Solitons
• Tailoring Three-Point Functions and Integrability II. Weak/strong coupling match
• S-matrix for magnons in the D1-D5 system
• How Accurate is the Quantum String Bethe Ansatz?
• On the Bethe Ansatz for the Jaynes-Cummings-Gaudin model
• Bethe Ansatz in Stringy Sigma Models
• New Integrable System of 2dim Fermions from Strings on AdS_5 x S^5
• The magnon kinematics of the AdS/CFT correspondence
• Domain wall dynamics in the Landau--Lifshitz magnet and the classical-quantum correspondence for spin transport
• The AdS(5)xS(5) superstring quantum spectrum from the algebraic curve
• N=4 Superconformal Characters and Partition Functions
• Y-system and Quasi-Classical Strings
• Finite-Size Effects for Dyonic Giant Magnons
• Finite-gap equations for strings on AdS_3 x S^3 x T^4 with mixed 3-form flux
• Comment on the Scaling Function in AdS4 x CP3
• One-Loop QCD Spin Chain and its Spectrum
• Classical Limit of the Three-Point Function from Integrability
• Y-system, TBA and Quasi-Classical Strings in AdS4 x CP3
• Wronskian Solution for AdS/CFT Y-system
• HHL correlators, orbit averaging and form factors
• Universality classes of spin transport in one-dimensional isotropic magnets: the onset of logarithmic anomalies
• Higher Loops Beyond the SU(2) Sector
• Two-dimensional S-matrices from unitarity cuts
• Quantum Wrapped Giant Magnon
• Constructing the AdS/CFT dressing factor
• Non-Abelian Vortices in N=1* Gauge Theory
• Strings as Multi-Particle States of Quantum Sigma-Models
• Planar plane-wave matrix theory at the four loop order: Integrability without BMN scaling
• Finite size effects in ferromagnetic spin chains and quantum corrections to classical strings
• On Drinfeld's second realization of the AdS/CFT su(2|2) Yangian
• Pulsating Strings on AdS_5 x S^5
• PSU(2,2|4) Character of Quasiclassical AdS/CFT
• Finite size effects for giant magnons on physical strings
• Classical Open String Integrability
• Exact Correlation Functions in Conformal Fishnet Theory
• Quark-antiquark potential in AdS at one loop
• Large spin corrections in $\mathcal{N}=4$ SYM sl(2): still a linear integral equation
• Y-system for form factors at strong coupling in AdS5 and with multi-operator insertions in AdS3
• An action variable of the sine-Gordon model
• Long-Range GL(n) Integrable Spin Chains and Plane-Wave Matrix Theory
• Finite-gap systems, tri-supersymmetry and self-isospectrality
• The full Quantum Spectral Curve for $Ad{S}_4/CF{T}_3$
• Classical r-matrix of the su(2|2) SYM spin-chain
• Deeper Look into Short Strings
• Comment on Strings in AdS3 x S3 x S3 x S1 at One Loop
• N=4 SYM to Two Loops: Compact Expressions for the Non-Compact Symmetry Algebra of the su(1,1|2) Sector
• The Bethe Ansatz for Z_S Orbifolds of N=4 Super Yang-Mills Theory
• Quantum Strings and the AdS4/CFT3 Interpolating Function
• 1/J corrections to semiclassical AdS/CFT states from quantum Landau-Lifshitz model
• A Secret Symmetry of the AdS/CFT S-matrix
• The algebra of flat currents for the string on AdS_5 x S^5 in the light-cone gauge
• $Ad{S}_3/CF{T}_2$, finite-gap equations and massless modes
• Review of AdS/CFT Integrability, Chapter III.3: The dressing factor
• Deformed Neumann model from spinning strings on (AdS_5 x S^5)_η
• Review of AdS/CFT Integrability, Chapter II.4: The Spectral Curve
• Semiclassical Strings on AdS_5 x S^5/Z_M and Operators in Orbifold Field Theories
• Asymptotic Bethe Ansatz from String Sigma Model on S^3 x R
• Double Scaling and Finite Size Corrections in sl(2) Spin Chain
• Supersymmetric null-surfaces
• A Yangian Double for the AdS/CFT Classical r-matrix
• Six-Loop Anomalous Dimension of Twist-Three Operators in N=4 SYM
• Classical Integrability of the Squashed Three-sphere, Warped AdS3 and Schroedinger Spacetime via T-Duality
• Wave functions and correlation functions for GKP strings from integrability
• Integrable Open Spin Chains and the Doubling Trick in N = 2 SYM with Fundamental Matter
• Quantum-to-Classical Correspondence and Hubbard-Stratonovich Dynamical Systems, a Lie-Algebraic Approach
• Three-Spin Giant Magnons in AdS_5xS^5
• Fixing the Quantum Three-Point Function
• Integrable Matrix Models in Discrete Space-Time
• Finite size giant magnons in the SU(2) x SU(2) sector of AdS_4 x CP^3
• Surprises in the AdS algebraic curve constructions - Wilson loops and correlation functions
• Integrable twists in AdS/CFT
• A tree-level 3-point function in the su(3)-sector of planar N=4 SYM
• Three-point Correlation functions of Giant magnons with finite size
• 1/J^2 corrections to BMN energies from the quantum long range Landau-Lifshitz model
• Linking Backlund and Monodromy Charges for Strings on AdS_5 x S^5
• Correlation Function of Circular Wilson Loops at Strong Coupling
• Higher-Loop Integrability in N=4 Gauge Theory
• Reduced sigma-model on AdS_5 x S^5: one-loop scattering amplitudes
• Macroscopic (and Microscopic) Massless Modes
• Continuum limit of fishnet graphs and AdS sigma model
• Quantum corrections to short folded superstring in AdS_3 x S^3 x M^4
• Self-isospectrality, mirror symmetry, and exotic nonlinear supersymmetry
• Quantum string integrability and AdS/CFT
• Fluctuations and Energy Shifts in the Bethe Ansatz
• Semiclassical circular strings in AdS_5 and "long" gauge field strength operators
• Giant Magnon in NS5-brane Background
• Three loop anomalous dimensions of twist-3 gauge operators in N=4 SYM
• The Circular, Elliptic Three Spin String from the SU(3) Spin Chain
• Higher Loop Bethe Ansatz for Open Spin-Chains in AdS/CFT
• Large Winding Sector of AdS/CFT
• Dyonic Giant Magnons in CP^3: Strings and Curves at Finite J
• Discrete Hirota dynamics for AdS/CFT
• q-Deformed Supersymmetry and Dynamic Magnon Representations
• Quantum Stability for the Heisenberg Ferromagnet
• Coordinate Bethe Ansatz for the String S-Matrix
• Wound and Rotating Strings in AdS_5 x S^5
• One-Loop Corrections to Type IIA String Theory in AdS4 x CP3
• Anomalous dimensions at twist-3 in the sl(2) sector of N=4 SYM
• Leading transcedental contribution to the four-loop universal anomalous dimension in N=4 SYM
• Quantum Scattering of Giant Magnons
• Hamiltonian dynamics and the hidden symmetries of the AdS_5 x S^5 superstring
• Antiferromagnetic Operators in N=4 Supersymmetric Yang-Mills Theory
• Open Semiclassical Strings and Long Defect Operators in AdS/dCFT Correspondence
• Quiver CFT at strong coupling
• Open string integrability and AdS/CFT
• Novel construction and the monodromy relation for three-point functions at weak coupling
• Integrable Spin Chains with U(1)^3 symmetry and generalized Lunin-Maldacena backgrounds
• N=2 Super Yang-Mills and the XXZ spin chain
• Inner products of Bethe states as partial domain wall partition functions
• Spin Models and Superconformal Yang-Mills Theory
• Bound State Transfer Matrix for AdS5 x S5 Superstring
• Spin Chain for Quantum Strings
• A note on the eigenvectors of long-range spin chains and their scalar products
• Dual Spikes; New Spiky String Solutions
• Factorized world-sheet scattering in near-flat AdS_5 x S^5
• The SU(2) sector in AdS/CFT
• Notes on fast moving strings
• String Bits and the Spin Vertex
• A two-loop test for the factorised S-matrix of planar N=4
• The generalized non-linear Schrodinger model on the interval
• Asymptotic Bethe Ansatz S-matrix and Landau-Lifshitz type effective 2-d actions
• From Polygon Wilson Loops to Spin Chains and Back
• Bethe Ansatz Equations for General Orbifolds of N=4 SYM
• Landau-Lifshitz sigma-models, fermions and the AdS/CFT correspondence
• Precision Test of AdS/CFT in Lunin-Maldacena Background
• Slow-string limit and "antiferromagnetic" state in AdS/CFT
• Giant Magnons in AdS4 x CP3: Embeddings, Charges and a Hamiltonian
• TBA Equations and Quantization Conditions
• A note on oscillating strings in $Ad{S}_3\times S^3$ with mixed three-form fluxes
• Open Spinning Strings and AdS/dCFT Duality
• Minimal solution of the AdS/CFT crossing equation
• Integrable spin chains and scattering amplitudes
• Superspin chains and supersymmetric gauge theories
• Quantum folded string in S^5 and the Konishi multiplet at strong coupling
• On n-point Amplitudes in N=4 SYM
• Pulsating strings on $(Ad{S}_3\times S^3{)}_{\varkappa }$
• Sigma models in the presence of dynamical point-like defects
• Classical Integrability for Three-point Functions: Cognate Structure at Weak and Strong Couplings
• Quantum Spectral Curve of $\gamma$-twisted $\mathcal{N}=4$ SYM theory and fishnet CFT
• Classical and quantum integrability in AdS(2)/CFT(1)
• Fusion hierarchies for N = 4 superYang-Mills theory
• Algebraic Curves for Factorized String Solutions
• Rotating Strings with Two Unequal Spins in Lunin-Maldacena Background
• Integrability and Higher Loops in AdS/dCFT Correspondence
• Giant Magnons and Singular Curves
• Algebraic geometry and Bethe ansatz (I) the quotient ring for BAE
• On the commuting charges for the highest dimension SU(2) operators in planar $\mathcal{N}=4$ SYM
• Three-point correlation functions from semiclassical circular strings
• Constant mean curvature surfaces in AdS_3
• Circular and Folded Multi-Spin Strings in Spin Chain Sigma Models
• Universality of three gaugino anomalous dimensions in N=4 SYM
• Boundary finite size corrections for multiparticle states and planar AdS/CFT
• On highest-energy state in the su(1|1) sector of N=4 super Yang-Mills theory
• Integrable Superstrings on the Squashed Three-sphere
• Universal blocks of the AdS/CFT Scattering Matrix
• Integrability and non-perturbative effects in the AdS/CFT correspondence
• Homogeneous Yang-Baxter deformations as undeformed yet twisted models
• Classical integrability in the BTZ black hole
• The non-planar contribution to the four-loop anomalous dimension of twist-2 operators: first moments in N=4 SYM and non-singlet QCD
• Semiclassical spectrum for BMN string in $Sc{h}_5\times S^5$
• On circular strings in $(Ad{S}_3\times S^3{)}_{\varkappa }$
• Rational three-spin string duals and non-anomalous finite size effects
• Structure constants of short operators in planar $\mathcal{N}=4$ SYM theory
• Anomalous dimension and local charges
• A large spin limit of strings on AdS_5 x S^5 in a non-compact sector
• Pulsating Strings With Angular Momenta
• Structure of the string R-matrix
• Large Charges on the Wilson Loop in $\mathcal{N}=4$ SYM: Matrix Model and Classical String
• Plane wave limit of local conserved charges
• Semiclassical rigid strings with two spins in AdS_5
• Algebraic Curve for a Cusped Wilson Line
• Algebraic Curves for Long Folded and Circular Winding Strings in AdS5xS5
• Quantum integrability of the Alday-Arutyunov-Frolov model
• Finite size corrections and integrability of $\mathcal{N}=2$ SYM and DLCQ strings on a pp-wave
• Spiky Strings and Giant Holes
• Current Algebra and Integrability of Principal Chiral Model on the World-sheet with General Metric
• Semiclassical spectrum of a Jordanian deformation of $Ad{S}_5\times S^5$
• Non-planar anomalous dimension of twist-2 operators: higher moments at four loops
• Kinky Strings in AdS_5 x S^5
• The Anatomy of Gauge/String Duality in Lunin-Maldacena Background
• On quantum integrability of the Landau-Lifshitz model
• New aspects of the BMN correspondence beyond the planar limit
• Matrix Models, Complex Geometry and Integrable Systems. I
• Bethe Ansatz solutions for highest states in $\mathcal{N}=4$ SYM and AdS/CFT duality
• The Bethe Ansatz for AdS5 x S5 Bound States
• One-loop spectroscopy of semiclassically quantized strings: bosonic sector
• Pure Spinor Strings in TsT Deformed Background
• Integrability and duality in spin chains
• Semiclassical Strings in Electric and Magnetic Fields Deformed $Ad{S}_5\times S^5$ Spacetimes
• Twist-2 at five loops: Wrapping corrections without wrapping computations
• On the pulsating strings in AdS_4 x CP3
• $A_n^{(1)}$ affine Toda field theories with integrable boundary conditions revisited
• Double-logs, Gribov-Lipatov reciprocity and wrapping
• Anomalous dimensions of finite size field strength operators in N=4 SYM
• Scattering amplitudes at strong coupling for 4K gluons
• Note About Integrability and Gauge Fixing for Bosonic String on AdS(5)xS(5)
• On the singlet projector and the monodromy relation for psu(2, 2|4) spin chains and reduction to subsectors
• Scrambling in Yang-Mills
• Spin chain from membrane and the Neumann-Rosochatius integrable system
• Algebraic Bethe ansatz for U(1) Invariant Integrable Models: Compact and non-Compact Applications
• Large Charges on the Wilson Loop in $\mathcal{N}=4$ SYM: II. Quantum Fluctuations, OPE, and Spectral Curve
• The S-matrix of the Faddeev-Reshetikhin Model, Diagonalizability and PT Symmetry
• Strong Wilson polygons from the lodge of free and bound mesons
• Fast spinning strings on $\eta$ deformed $Ad{S}_5\times S^5$
• Quantum Giant Magnons
• Spectral curve for open strings attached to the Y=0 brane
• TBA-like equations and Casimir effect in (non-)perturbative AdS/CFT
• A Connection between Twistors and Superstring Sigma Models on Coset Superspaces
• Strong coupling anomalous dimensions of $\mathcal{N}=4$ super Yang-Mills
• From nesting to dressing
• Integrability and the AdS/CFT correspondence
• Strong coupling from the Hubbard model
• The dual string sigma-model of the SU_q(3) sector
• Matrix Models, Complex Geometry and Integrable Systems. II
• Landau-Lifschitz magnets: exact thermodynamics and transport
• Spin chain from marginally deformed AdS_3 x S^3
• On the absence of reflection in AdS4/CFT3
• Undular diffusion in nonlinear sigma models
• Giant Holes
• Conformal SO(2,4) Transformations for the Helical AdS String Solution
• Salient Features of Dressed Elliptic String Solutions on $\mathbb{R}\times$S${}^2$
• Reciprocity and integrability in the sl(2) sector of N=4 SYM
• Approaching the BFKL pomeron via integrable classical solutions
• Semi-classical quantisation of magnetic solitons in the anisotropic Heisenberg quantum chain
• Elliptic String Solutions on RxS^2 and Their Pohlmeyer Reduction
• Minimal surfaces with mixed three-form flux
• Boundary Lax pairs from non-ultra local Poisson algebras
• Combinatorics of generalized Bethe equations
• Quantum Strings and Bethe Equations
• From algebraic curve to minimal surface and back
• Microscopic formulation of the S-matrix in AdS/CFT
• Pulsating strings from two dimensional CFT on $(T^4{)}^N/S(N)$
• Superfield Lax formalism of supersymmetric sigma model on symmetric spaces
• On the Semi-Classical Limit of Scalar Products of the XXZ Spin Chain
• Wrapping effects in supersymmetric gauge theories
• Giant Spinons
• Highest states in light-cone $Ad{S}_5\times S^5$ superstring
• Semiclassical Strings on Curved Branes
• Multi-Spin Strings in AdS_4*CP^3 and its β-deformation
• Comments on Correlation Functions of Large Spin Operators and Null Polygonal Wilson Loops
• Nonplanar Four-Loop Anomalous Dimensions of Twist-Two Operators in N=4 Super Yang-Mills Theory: Higher Moment, General Result, and Cusp Anomalous Dimension
• An exact solution to asymptotic Bethe equation
• Integrability of the Gauged Linear Sigma Model for AdS_5xS^5
• Neumann-Rosochatius system for (m,n) string in $Ad{S}_3\times S^3$ with mixed flux
• Conformal Affine Toda Soliton and Moduli of IIB Superstring on $Ad{S}_5\times S^5$
• Fermion zero modes for the mixed-flux AdS${}_3$ giant magnon
• On Rotating and Oscillating Four-Spin Strings in AdS5 X S5
• Spin chains and classical strings in rotating Rindler-AdS space
• Analytic Bethe Ansatz Solutions for Highest States in the su(1|1) and su(2) Sectors
• Rotating and Orbiting Strings in Dp-brane background
• The SU(1|2) and SU(2|2) Sectors from Superstrings in AdS5 x S5
• Splitting strings on integrable backgrounds
• Semiclassical quantization of the mixed-flux AdS${}_3$ giant magnon
• AdS/CFT duality at strong coupling
• Worldsheet one-loop energy correction to IIA Giant Magnon
• A boundary matrix for AdS/CFT SU(1|1) spin chain
• Novel aspects of integrability for NLSMs in symmetric spaces
• Tenfold Way for Holography : AdS/CFT and Beyond
• A Young diagram expansion of the hexagonal Wilson loop (amplitude) in $\mathcal{N}=4$ SYM