Stringing Spins and Spinning Strings

Abstract

We apply recently developed integrable spin chain and dilatation operator techniques in order to compute the planar one-loop anomalous dimensions for certain operators containing a large number of scalar fields in N =4 Super Yang-Mills. The first set of operators, belonging to the SO(6) representations [J,L-2J,J], interpolate smoothly between the BMN case of two impurities (J=2) and the extreme case where the number of impurities equals half the total number of fields (J=L/2). The result for this particular [J,0,J] operator is smaller than the anomalous dimension derived by Frolov and Tseytlin [hep-th/0304255] for a semiclassical string configuration which is the dual of a gauge invariant operator in the same representation. We then identify a second set of operators which also belong to [J,L-2J,J] representations, but which do not have a BMN limit. In this case the anomalous dimension of the [J,0,J] operator does match the Frolov-Tseytlin prediction. We also show that the fluctuation spectra for this [J,0,J] operator is consistent with the string prediction.

27 pages, 4 figures, LaTex; v2 reference added, typos fixed

References in corpus (9)

• The Dilatation Operator of Conformal N=4 Super Yang-Mills Theory
• Multi-spin string solutions in AdS_5 x S^5
• Rotating string solutions: AdS/CFT duality in non-supersymmetric sectors
• Quantizing three-spin string solution in AdS_5 x S^5
• The quark - antiquark asymmetry of the strange sea of the nucleon
• SYM Description of PP-wave String Interactions: Singlet Sector and Arbitrary Impurities
• Conformal Dimensions of Two-Derivative BMN Operators
• Note on Plane Wave Quantum Mechanics
• Instability and Degeneracy in the BMN Correspondence

Cited by in corpus (237)

• Hidden Symmetries of the AdS_5 x S^5 Superstring
• Transcendentality and Crossing
• The N=4 SYM Integrable Super Spin Chain
• Long-Range PSU(2,2|4) Bethe Ansaetze for Gauge Theory and Strings
• Bethe Ansatz for Quantum Strings
• The Complete One-Loop Dilatation Operator of N=4 Super Yang-Mills Theory
• Classical/quantum integrability in AdS/CFT
• A Novel Long Range Spin Chain and Planar N=4 Super Yang-Mills
• The Factorized S-Matrix of CFT/AdS
• 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
• 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
• Spinning strings in AdS_5 x S^5: new integrable system relations
• The Algebraic Curve of Classical Superstrings on AdS_5xS^5
• Rotating string solutions: AdS/CFT duality in non-supersymmetric sectors
• Planar N=4 gauge theory and the Inozemtsev long range spin chain
• Large spin limit of AdS_5 x S^5 string theory and low energy expansion of ferromagnetic spin chains
• A Relation Between Approaches to Integrability in Superconformal Yang-Mills Theory
• Matching Higher Conserved Charges for Strings and Spins
• Gauge-string duality for superconformal deformations of N=4 Super Yang-Mills theory
• Precision Spectroscopy of AdS/CFT
• Integrable Hamiltonian for Classical Strings on AdS_5 x S^5
• The all loop AdS4/CFT3 Bethe ansatz
• Spinning strings and AdS/CFT duality
• Tailoring Three-Point Functions and Integrability
• Spinning strings and integrable spin chains in the AdS/CFT correspondence
• Deformations of N=4 SYM and integrable spin chain models
• One-point Functions in Defect CFT and Integrability
• On Quantum Corrections to Spinning Strings and Bethe Equations
• Spiky strings and single trace operators in gauge theories
• A Shortcut to the Q-Operator
• Semiclassical relativistic strings in S^5 and long coherent operators in N=4 SYM theory
• Planar N=4 Gauge Theory and the Hubbard Model
• Yang-Mills Duals for Semiclassical Strings
• Large spin limits of AdS/CFT and generalized Landau-Lifshitz equations
• Algebraic Curve for the SO(6) sector of AdS/CFT
• Small deformations of supersymmetric Wilson loops and open spin-chains
• The SU(3) spin chain sigma model and string theory
• Classical/quantum integrability in non-compact sector of AdS/CFT
• Holographic three-point functions of semiclassical states
• One-point Functions in AdS/dCFT from Matrix Product States
• The AdS5xS5 Superstring in Light-Cone Gauge and its Bethe Equations
• Gauge-string duality for (non)supersymmetric deformations of N=4 Super Yang-Mills theory
• 1/2-BPS states in M theory and defects in the dual CFTs
• 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
• Infinite spin limit of semiclassical string states
• On one-loop correction to energy of spinning strings in S^5
• Complete Spectrum of Long Operators in N=4 SYM at One Loop
• Spiky strings and giant magnons on S5
• A three-loop test of the dilatation operator in N=4 SYM
• Quantum corrections to spinning strings in AdS(5)xS(5) and Bethe ansatz: a comparative study
• Complete 1-loop test of AdS/CFT
• Yang-Mills Correlation Functions from Integrable Spin Chains
• On the completeness of solutions of Bethe's equations
• Semiclassical strings in Sasaki-Einstein manifolds and long operators in N=1 gauge theories
• Higher Impurity AdS/CFT Correspondence in the Near-BMN Limit
• Stringy sums and corrections to the quantum string Bethe ansatz
• Tailoring Three-Point Functions and Integrability III. Classical Tunneling
• Bethe Ansatz for a Quantum Supercoset Sigma Model
• Semiclassical Bethe Ansatz and AdS/CFT
• Single spike solutions for strings on S2 and S3
• The Classical r-matrix of AdS/CFT and its Lie Bialgebra Structure
• Superconformal operators in N=4 super-Yang-Mills theory
• A Perspective on Classical Strings from Complex Sine-Gordon Solitons
• On spin chains and field theories
• Tailoring Three-Point Functions and Integrability II. Weak/strong coupling match
• Bethe Ansatz in Stringy Sigma Models
• SL(2) spin chain and spinning strings on AdS_5xS^5
• The Algebra of Transition Matrices for the AdS_5 x S^5 Superstring
• Y-system and Quasi-Classical Strings
• One-loop one-point functions in gauge-gravity dualities with defects
• New Integrable Structures in Large-N QCD
• Speeding Strings
• Comment on the Scaling Function in AdS4 x CP3
• One-Loop QCD Spin Chain and its Spectrum
• Y-system, TBA and Quasi-Classical Strings in AdS4 x CP3
• Higher Loops Beyond the SU(2) Sector
• On the Integrability of large N Plane-Wave Matrix Theory
• Integrable Open Spin Chains in Defect Conformal Field Theory
• Strings as Multi-Particle States of Quantum Sigma-Models
• Finite size effects in ferromagnetic spin chains and quantum corrections to classical strings
• Pulsating Strings on AdS_5 x S^5
• Finite size effects for giant magnons on physical strings
• 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
• Three-spin Strings on AdS_5 x S^5 from N=4 SYM
• Open Spin Chain and Open Spinning String
• Quantum integrability and functional equations
• Semiclassical strings and AdS/CFT
• Spin chain sigma models with fermions
• Algebraic Bethe ansatz for singular solutions
• Review of AdS/CFT Integrability, Chapter I.1: Spin Chains in N=4 Super Yang-Mills
• Higher Conserved Charges and Integrability for Spinning Strings in AdS_5 x S^5
• Supersymmetry of Tensionless Rotating Strings in AdS_5 x S^5, and Nearly-BPS Operators
• Quantum Strings and the AdS4/CFT3 Interpolating Function
• 1/J corrections to semiclassical AdS/CFT states from quantum Landau-Lifshitz model
• N=4 SYM to Two Loops: Compact Expressions for the Non-Compact Symmetry Algebra of the su(1,1|2) Sector
• Finite-Size Corrections to Anomalous Dimensions in N=4 SYM Theory
• On Yangian Symmetry in Planar N=4 SYM
• Open Spinning Strings
• Review of AdS/CFT Integrability, Chapter II.4: The Spectral Curve
• Large spin expansion of semiclassical 3-point correlators in AdS_5 x S^5
• Towards the exact dilatation operator of N=4 super Yang-Mills theory
• Clustering and the Three-Point Function
• Semiclassical Strings on AdS_5 x S^5/Z_M and Operators in Orbifold Field Theories
• Double Scaling and Finite Size Corrections in sl(2) Spin Chain
• Bethe Ansatz for Yangian Invariants: Towards Super Yang-Mills Scattering Amplitudes
• The J1-J2 Heisenberg model at and close to its z=4 quantum critical point
• Integrable Open Spin Chains and the Doubling Trick in N = 2 SYM with Fundamental Matter
• A tree-level 3-point function in the su(3)-sector of planar N=4 SYM
• Spin bit models from non-planar N=4 SYM
• Bethe ansatz and fluctuations in SU(3) Yang-Mills operators
• Fluctuations and Energy Shifts in the Bethe Ansatz
• Analytic theory of the eight-vertex model
• Semiclassical circular strings in AdS_5 and "long" gauge field strength operators
• The Circular, Elliptic Three Spin String from the SU(3) Spin Chain
• Nonperturbative scales in AdS/CFT
• Geometry and topology of bubble solutions from gauge theory
• Higher Loop Bethe Ansatz for Open Spin-Chains in AdS/CFT
• Spiky strings in AdS_3 x S^1 and their AdS-pp-wave limits
• Large Winding Sector of AdS/CFT
• Wound and Rotating Strings in AdS_5 x S^5
• Quantum Stability for the Heisenberg Ferromagnet
• Correlation functions of magnon and spike
• Scattering of single spikes
• Multi-spin strings on AdS(5)xT(1,1) and operators of N=1 superconformal theory
• Quasilocality of joining/splitting strings from coherent states
• Singular solutions, repeated roots and completeness for higher-spin chains
• Open Semiclassical Strings and Long Defect Operators in AdS/dCFT Correspondence
• Spinning and rotating strings for N=1 SYM theory and brane constructions
• Spin Chain for Quantum Strings
• Dual Spikes; New Spiky String Solutions
• Matching gauge theory and string theory in a decoupling limit of AdS/CFT
• Spin Models and Superconformal Yang-Mills Theory
• Semiclassical strings in AdS_5 x S^5 and scalar operators in N=4 SYM theory
• Novel Explicit Multi Spin String Solitons in AdS(5)
• A two-loop test for the factorised S-matrix of planar N=4
• The SU(2) sector in AdS/CFT
• Folded Three-Spin String Solutions in AdS_5 x S^5
• Reciprocity of gauge operators in N=4 SYM
• On instanton contributions to anomalous dimensions in N=4 supersymmetric Yang-Mills theory
• Landau-Lifshitz sigma-models, fermions and the AdS/CFT correspondence
• Precision Test of AdS/CFT in Lunin-Maldacena Background
• On two fermion BMN operators
• Singular Solutions to the Bethe Ansatz Equations and Rigged Configurations
• Multi-spin string solutions in AdS Black Hole and confining backgrounds
• Open Spinning Strings and AdS/dCFT Duality
• Two-loop AdS_5 x S^5 superstring: testing asymptotic Bethe ansatz and finite size corrections
• Correlation function of dyonic strings
• Superstring sigma models from spin chains: the SU(1,1|1) case
• Neumann and Neumann-Rosochatius integrable systems from membranes on AdS_4xS^7
• Positive Energy Unitary Irreducible Representations of the Superalgebras osp(1|2n,R)
• Quantum folded string in S^5 and the Konishi multiplet at strong coupling
• Semiclassical string spectrum in a string model dual to large N QCD
• Exceptional Operators in N=4 super Yang-Mills
• Algebraic geometry and Bethe ansatz (I) the quotient ring for BAE
• Integrability and Higher Loops in AdS/dCFT Correspondence
• Rotating Strings with Two Unequal Spins in Lunin-Maldacena Background
• 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
• Divergence Cancellation and Loop Corrections in String Field Theory on a Plane Wave Background
• Circular and Folded Multi-Spin Strings in Spin Chain Sigma Models
• Duality Relations for Overlaps of Integrable Boundary States in AdS/dCFT
• The su(2|3) Undynamic Spin Chain
• Magnon like solutions for strings in I-brane background
• Classical string solutions in Non-Relativistic AdS${}_5\times$S${}^5$: Closed and Twisted sectors
• Aspects of Integrability in AdS/CFT Duality
• Finite size effect on the magnon's correlation functions
• Rational three-spin string duals and non-anomalous finite size effects
• On the spectral problem of N=4 SYM with orthogonal or symplectic gauge group
• Semiclassical dynamics for torsional Newton-Cartan strings
• A large spin limit of strings on AdS_5 x S^5 in a non-compact sector
• Splitting strings and chains
• Semi-classical Strings in Sasaki-Einstein Manifolds
• Finite size corrections and integrability of $\mathcal{N}=2$ SYM and DLCQ strings on a pp-wave
• AdS/CFT v.s. String Loops
• Bethe Ansatz solutions for highest states in $\mathcal{N}=4$ SYM and AdS/CFT duality
• Finite-size corrections to the rotating string and the winding state
• The Anatomy of Gauge/String Duality in Lunin-Maldacena Background
• Kinky Strings in AdS_5 x S^5
• More about "short" spinning quantum strings
• On semiclassical calculation of three-point functions in AdS_5 \times T^(1,1)
• On string integrability. A journey through the two-dimensional hidden symmetries in the AdS/CFT dualities
• Spin bits at two loops
• Spiky Strings on I-brane
• Non Self-conjugate Strings, Singular Strings and Rigged Configurations in the Heisenberg Model
• Wilson Line Correlators in N=4 Non-commutative Gauge Theory on S^2 x S^2
• Super-Spin Chains for 6D SCFTs
• Quantum fluctuations of rotating strings in AdS_5 x S^5
• Strong coupling anomalous dimensions of $\mathcal{N}=4$ super Yang-Mills
• Gauge Theories as String Theories: the First Results
• On the Integrability of String Theory in AdS_5 x S^5
• Fragmentation and defragmentation of strings in type IIA and their holographic duals
• Quantum Giant Magnons
• Quasiclassical Geometry and Integrability of AdS/CFT Correspondence
• Stringy Membranes in AdS/CFT
• Rotating Strings in Massive Type IIA Supergravity
• N-body Dynamics of Giant Magnons in RxS2
• Conformal SO(2,4) Transformations for the Helical AdS String Solution
• Singular eigenstates in the even(odd) length Heisenberg spin chain
• Semi-classical quantisation of magnetic solitons in the anisotropic Heisenberg quantum chain
• Superspace methods for the computation of wrapping effects in the standard and beta-deformed N=4 SYM
• Correlation functions of the ABJM model
• Elliptic String Solutions on RxS^2 and Their Pohlmeyer Reduction
• Pulsating Strings in Lunin-Maldacena Backgrounds
• Semiclassical Strings on Curved Branes
• On the Semi-Classical Limit of Scalar Products of the XXZ Spin Chain
• Four-Impurity Operators and String Field Theory Vertex in the BMN Correspondence
• Nonrelativistic spinning strings
• Integrable systems and AdS/CFT duality
• Fishnet four-point integrals: integrable representations and thermodynamic limits
• Wrapping effects in supersymmetric gauge theories
• Highest states in light-cone $Ad{S}_5\times S^5$ superstring
• Multi-Spin Strings in AdS_4*CP^3 and its β-deformation
• Heisenberg model and Rigged Configurations
• Cosmological Constant Seesaw in String/M-Theory
• Neumann-Rosochatius system for (m,n) string in $Ad{S}_3\times S^3$ with mixed flux
• Exact regimes of collapsed and extra two-string solutions in the two down-spin sector of the spin-1/2 massive XXZ spin chain
• Semiclassical Strings in Supergravity PFT
• The SU(2) Long Range Bethe Ansatz and Continuous Integrable Systems
• Spin chains and classical strings in rotating Rindler-AdS space
• Bethe's Quantum Numbers And Rigged Configurations
• The SU(1|2) and SU(2|2) Sectors from Superstrings in AdS5 x S5
• Neumann-Rosochatius system for strings on I-brane
• Renormalization group flow of reduced string actions
• Pulsating Strings in Deformed Backgrounds
• On the Integrable Structure of Super Yang-Mills Scattering Amplitudes
• Classical limit of Quantum Sigma-Models from Bethe Ansatz
• Tunnelling of Pulsating Strings in Deformed Minkowski Spacetime
• AdS/CFT duality at strong coupling