Wrapping interactions and a new source of corrections to the spin-chain/string duality

Abstract

Assuming that the world-sheet sigma-model in the AdS/CFT correspondence is an integrable {\em quantum} field theory, we deduce that there might be new corrections to the spin-chain/string Bethe ansatz paradigm. These come from virtual particles propagating around the circumference of the cylinder and render Bethe ansatz quantization conditions only approximate. We determine the nature of these corrections both at weak and at strong coupling in the near BMN limit, and find that the first corrections behave qualitatively as wrapping interactions at weak coupling.

21 pages, 1 figure; v3:references added; v4:journal version, minor corrections; v5: typo in acknowledgments fixed

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Cited by in corpus (217)

• Transcendentality and Crossing
• The AdS_5xS^5 superstring worldsheet S-matrix and crossing symmetry
• Foundations of the AdS_5 x S^5 Superstring. Part I
• Integrability for the Full Spectrum of Planar AdS/CFT II
• Integrability for the Full Spectrum of Planar AdS/CFT
• Thermodynamic Bethe Ansatz for the AdS_5 x S^5 Mirror Model
• Four-loop perturbative Konishi from strings and finite size effects for multiparticle states
• The Zamolodchikov-Faddeev Algebra for AdS_5 x S^5 Superstring
• Finite-size Effects from Giant Magnons
• Quantum corrections to the string Bethe ansatz
• On String S-matrix, Bound States and TBA
• The all loop AdS4/CFT3 Bethe ansatz
• The Analytic Bethe Ansatz for a Chain with Centrally Extended su(2|2) Symmetry
• Exact AdS/CFT spectrum: Konishi dimension at any coupling
• The Off-shell Symmetry Algebra of the Light-cone AdS_5 x S^5 Superstring
• Dressing and Wrapping
• String hypothesis for the AdS_5 x S^5 mirror
• On AdS_5 x S^5 String S-matrix
• Four loop twist two, BFKL, wrapping and strings
• Thermodynamic Bethe Ansatz for planar AdS/CFT: a proposal
• Magnon Bound States and the AdS/CFT Correspondence
• Wrapping at four loops in N=4 SYM
• Planar N=4 Gauge Theory and the Hubbard Model
• Dyonic Giant Magnons
• The complete worldsheet S matrix of superstrings on AdS_3 x S^3 x T^4 with mixed three-form flux
• Strings on NS-NS Backgrounds as Integrable Deformations
• Wrapping interactions at strong coupling -- the giant magnon
• Uniform Light-Cone Gauge for Strings in AdS_5 x S^5: Solving su(1|1) Sector
• Space-time S-matrix and Flux-tube S-matrix III. The two-particle contributions
• Five-Loop Anomalous Dimension of Twist-Two Operators
• Five loop Konishi from AdS/CFT
• The complete AdS_3 x S^3 x T^4 worldsheet S-matrix
• Extended Y-system for the $Ad{S}_5/CF{T}_4$ correspondence
• Anomalous dimension with wrapping at four loops in N=4 SYM
• The S-matrix of String Bound States
• Exciting the GKP string at any coupling
• Five-loop Konishi from the Mirror TBA
• Long-Range Deformations for Integrable Spin Chains
• Complete 1-loop test of AdS/CFT
• Massive S-matrix of AdS_3 x S^3 x T^4 superstring theory with mixed 3-form flux
• Towards integrability for AdS3/CFT2
• A Universality Test of the Quantum String Bethe Ansatz
• The ${\mathrm{AdS}}_5\times {\mathrm{S}}^5$ mirror model as a string
• Finite Volume Spectrum of 2D Field Theories from Hirota Dynamics
• TBA and Y-system for planar $Ad{S}_4/CF{T}_3$
• Gauge invariant finite size spectrum of the giant magnon
• Anomalous dimensions at four loops in N=6 superconformal Chern-Simons theories
• How Accurate is the Quantum String Bethe Ansatz?
• Integrable spin chain for stringy Wess-Zumino-Witten models
• Exploring the mirror TBA
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• Twist-three at five loops, Bethe Ansatz and wrapping
• Y-system and Quasi-Classical Strings
• Colour-dressed hexagon tessellations for correlation functions and non-planar corrections
• Finite-Size Effects for Dyonic Giant Magnons
• Integrability of the AdS_5 x S^5 superstring and its deformations
• Protected string spectrum in AdS3/CFT2 from worldsheet integrability
• Magnon dispersion to four loops in the ABJM and ABJ models
• Y-system, TBA and Quasi-Classical Strings in AdS4 x CP3
• Wronskian Solution for AdS/CFT Y-system
• TBA, NLO Luscher correction, and double wrapping in twisted AdS/CFT
• More Exact Results in the Wilson Loop Defect CFT: Bulk-Defect OPE, Nonplanar Corrections and Quantum Spectral Curve
• Asymptotic one-point functions in AdS/dCFT
• Quantum Wrapped Giant Magnon
• Konishi operator at intermediate coupling
• Double Wick rotating Green-Schwarz strings
• Simplified TBA equations of the AdS_5 x S^5 mirror model
• The Bound State S-Matrix for AdS5 x S5 Superstring
• Quantum Spectral Curve at Work: From Small Spin to Strong Coupling in N=4 SYM
• Three-point functions in $\mathcal{N}=4$ SYM: the hexagon proposal at three loops
• Multiple zeta functions and double wrapping in planar N=4 SYM
• PSU(2,2|4) Character of Quasiclassical AdS/CFT
• Finite size effects for giant magnons on physical strings
• 5-loop Konishi from linearized TBA and the XXX magnet
• Large spin corrections in $\mathcal{N}=4$ SYM sl(2): still a linear integral equation
• N=4 SYM structure constants as determinants
• Quantum integrability and functional equations
• Twisting the Mirror TBA
• $T\bar{T}$ deformations and integrable spin chains
• An Integrability Primer for the Gauge-Gravity Correspondence: an Introduction
• Amplitudes, Form Factors and the Dilatation Operator in $\mathcal{N}=4$ SYM Theory
• Introduction to the thermodynamic Bethe ansatz
• The scaling function at strong coupling from the quantum string Bethe equations
• N=4 SYM to Two Loops: Compact Expressions for the Non-Compact Symmetry Algebra of the su(1,1|2) Sector
• Temperature quantization from the TBA equations
• On the Dressing Factors, Bethe Equations and Yangian Symmetry of Strings on AdS3 x S3 x T4
• Flow equations for generalised $T\bar{T}$ deformations
• Y-system and beta-deformed N=4 Super-Yang-Mills
• Massless Lüscher Terms and the Limitations of the AdS3 Asymptotic Bethe Ansatz
• Review of AdS/CFT Integrability, Chapter III.3: The dressing factor
• Finite Size Giant Magnon
• $Ad{S}_5\times S^5$ mirror TBA equations from Y-system and discontinuity relations
• Integrable S matrix, mirror TBA and spectrum for the stringy ${\text{AdS}}_3\times {\text{S}}^3\times {\text{S}}^3\times {\text{S}}^1$ WZW model
• Yangians, S-matrices and AdS/CFT
• Asymptotic Bethe Ansatz on the GKP vacuum as a defect spin chain: scattering, particles and minimal area Wilson loops
• New Dressing Factors for AdS3/CFT2
• Finite size giant magnons in the SU(2) x SU(2) sector of AdS_4 x CP^3
• Three-point functions in planar N=4 super Yang-Mills Theory for scalar operators up to length five at the one-loop order
• A new derivation of Luscher F-term and fluctuations around the giant magnon
• Review of AdS/CFT Integrability, Chapter III.6: Thermodynamic Bethe Ansatz
• Continuum limit of fishnet graphs and AdS sigma model
• Five-loop anomalous dimension at critical wrapping order in N=4 SYM
• Finite-Size Effects for Multi-Magnon States
• The Bajnok-Janik formula and wrapping corrections
• Finite-size effect for four-loop Konishi of the beta-deformed N=4 SYM
• Interacting finite-size magnons
• On the finite size corrections of anti-ferromagnetic anomalous dimensions in $\mathcal{N}=4$ SYM
• Discrete Hirota dynamics for AdS/CFT
• A piece of cake: the ground-state energies in gamma_i-deformed N=4 SYM theory
• Analytic solution of the multiloop Baxter equation
• An Exceptional Algebraic Origin of the AdS/CFT Yangian Symmetry
• Two-parameter integrable deformations of the $Ad{S}_3\times S^3\times T^4$ superstring
• Hubbard's Adventures in $\mathcal{N}=4$ SYM-land? Some non-perturbative considerations on finite length operators
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• Luescher formula for GKP string
• The most general $\lambda$-deformation of CFTs and integrability
• Matching gauge theory and string theory in a decoupling limit of AdS/CFT
• Review of AdS/CFT Integrability, Chapter III.5: Luscher corrections
• Bound State Transfer Matrix for AdS5 x S5 Superstring
• Hexagons and Correlators in the Fishnet Theory
• Perturbative study of the transfer matrix on the string worldsheet in AdS(5)xS(5)
• Superspace calculation of the three-loop dilatation operator of N=4 SYM theory
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• The ${\mathrm{AdS}}_3\times {\mathrm{S}}^3\times {\mathrm{S}}^3\times {\mathrm{S}}^1$ worldsheet S matrix
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• Comments on the Mirror TBA
• Giant Magnons in AdS4 x CP3: Embeddings, Charges and a Hamiltonian
• On Yangian and Long Representations of the Centrally Extended su(2|2) Superalgebra
• Hybrid NLIE for the Mirror AdS_5 x S^5
• Finite-size Effect of the Dyonic Giant Magnons in N=6 super Chern-Simons Theory
• Scaling dimensions from the mirror TBA
• Massless S matrices for AdS3/CFT2
• Positivity of hexagon perturbation theory
• A next-to-leading Luescher formula
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• Fusion hierarchies for N = 4 superYang-Mills theory
• Numerical results for the exact spectrum of planar AdS4/CFT3
• Wrapping in maximally supersymmetric and marginally deformed N=4 Yang-Mills
• Boundary finite size corrections for multiparticle states and planar AdS/CFT
• Scaling dimensions at small spin in N=4 SYM theory
• Finite-Size Corrections of the ${\mathbb{CP}}^3$ Giant Magnons: the Lüscher terms
• On the wrapping correction to single magnon energy in twisted N=4 SYM
• Aspects of Integrability in AdS/CFT Duality
• Structure constants of short operators in planar $\mathcal{N}=4$ SYM theory
• On the spectral problem of N=4 SYM with orthogonal or symplectic gauge group
• Structure of the string R-matrix
• Quantum strings in AdS5 x S5 and AdS/CFT duality
• Integrable strings for AdS/CFT
• Integrable bootstrap for AdS3/CFT2 correlation functions
• On the Spectrum of the AdS_5xS^5 String at large lambda
• Lifting asymptotic degeneracies with the Mirror TBA
• Finite size corrections and integrability of $\mathcal{N}=2$ SYM and DLCQ strings on a pp-wave
• Toy models for wrapping effects
• Riemann $\zeta (3)$- terms in perturbative QED series, conformal symmetry and the analogies with structures of multiloop effects in N=4 supersymmetric Yang-Mills theory
• Wrapping Interactions and the Konishi Operator
• Wilson-loop One-point Functions in ABJM Theory
• Worldsheet S-matrix of beta-deformed SYM
• Konishi at strong coupling from ABE
• On the $Ad{S}_5/CF{T}_4$ TBA and its analytic properties
• Y-system for Z_S Orbifolds of N=4 SYM
• One-Loop Spectroscopy of Scalar Three-Point Functions in planar N=4 super Yang-Mills Theory
• The Bethe Ansatz for AdS5 x S5 Bound States
• Nesting and Dressing
• Discontinuity relations for the AdS(4)/CFT(3) correspondence
• The Tensionless Limit of Pure-Ramond-Ramond AdS3/CFT2
• On string integrability. A journey through the two-dimensional hidden symmetries in the AdS/CFT dualities
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• Protected states in $\mbox{AdS}_3$ backgrounds from integrability
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• Review of AdS/CFT Integrability, Chapter I.2: The spectrum from perturbative gauge theory
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• Close to the Giant Magnons
• Perturbed symmetric-product orbifold: first-order mixing and puzzles for integrability
• Finite-sites corrections to the Casimir energy on a periodic lattice
• The high spin expansion of twist sector dimensions: the planar N=4 super Yang-Mills theory
• Webs of integrable theories
• Some three-point correlation functions in the eta-deformed AdS_5 x S^5
• Real and Virtual Bound States in Lüscher Corrections for CP3 Magnons
• Leading finite-size effects on some three-point correlators in AdS_5 x S^5
• Superspace methods for the computation of wrapping effects in the standard and beta-deformed N=4 SYM
• Microscopic formulation of the S-matrix in AdS/CFT
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• Contour deformation trick in hybrid NLIE
• Bethe Ansatz for Quantum-Deformed Strings
• Wrapping corrections for non-diagonal boundaries in AdS/CFT
• The plane-wave limit of ${\mathrm{AdS}}_3\times {\mathrm{S}}^3\times {\mathrm{S}}^3\times {\mathrm{S}}^1$
• Leading finite-size effects on some three-point correlators in TsT-deformed AdS_5 x S^5
• DGLAP and BFKL equations in $\mathcal{N}=4$ SYM: from weak to strong coupling
• Supergraphs and the cubic Leigh-Strassler model
• The SU(2) Long Range Bethe Ansatz and Continuous Integrable Systems
• A universal graph description for one-dimensional exchange models
• Bound State Scattering Simplified
• Exact Results in Supersymmetric Gauge Theories
• Finite size effect from classical strings in $Ad{S}_3\times S^3$ with NS-NS flux
• On finite size corrections to the dispersion relations of giant magnon and single spike on γ-deformed T^{1,1}
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• Finite Size Effect from Classical Strings in deformed AdS${}_3\times$ S${}^3$
• A hitchhiker's guide to quantum field theoretic aspects of $\mathcal{N}=4$ SYM theory and its deformations
• P-Branes Dynamics, AdS/CFT and Correlation Functions
• On finite-size spiky strings in $Ad{S}_3\times S^3\times T^4$ with mixed fluxes
• A diagrammatic approach towards the thermodynamics of integrable systems