Extended Y-system for the $Ad{S}_5/CF{T}_4$ correspondence

Abstract

We study the analytic properties of the $Ad{S}_5/CF{T}_4$ Y functions. It is shown that the TBA equations, including the dressing factor, can be obtained from the Y-system with some additional information on the square-root discontinuities across semi-infinite segments in the complex plane. The Y-system extended by the discontinuity relations constitutes a fundamental set of local functional constraints that can be easily transformed into integral form through Cauchy's theorem.

LaTeX2e, 42 pages, 7 figures. v2: 45 pages, references and a new appendix included, typos corrected. v3: minor typos corrected, references added

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• The AdS_5xS^5 superstring worldsheet S-matrix and crossing symmetry
• 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
• On String S-matrix, Bound States and TBA
• Exact AdS/CFT spectrum: Konishi dimension at any coupling
• String hypothesis for the AdS_5 x S^5 mirror
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• Wrapping at four loops in N=4 SYM
• On the Singularities of the Magnon S-matrix
• Five loop Konishi from AdS/CFT
• Anomalous dimension with wrapping at four loops in N=4 SYM
• A Generalized Scaling Function for AdS/CFT
• Five-loop Konishi from the Mirror TBA
• The Bethe ansatz approach for factorizable centrally extended S-matrices
• TBA and Y-system for planar $Ad{S}_4/CF{T}_3$
• Y-system and Quasi-Classical Strings
• Y-system, TBA and Quasi-Classical Strings in AdS4 x CP3
• Konishi operator at intermediate coupling
• Simplified TBA equations of the AdS_5 x S^5 mirror model
• Large spin corrections in $\mathcal{N}=4$ SYM sl(2): still a linear integral equation
• Quantum integrability and functional equations
• Temperature quantization from the TBA equations
• Minimal solution of the AdS/CFT crossing equation
• On the commuting charges for the highest dimension SU(2) operators in planar $\mathcal{N}=4$ SYM

Cited by in corpus (87)

• Quantum spectral curve for AdS_5/CFT_4
• Quantum spectral curve for arbitrary state/operator in AdS${}_5$/CFT${}_4$
• The complete worldsheet S matrix of superstrings on AdS_3 x S^3 x T^4 with mixed three-form flux
• The complete AdS_3 x S^3 x T^4 worldsheet S-matrix
• The Quantum Spectral Curve of the ABJM theory
• T-system on T-hook: Grassmannian Solution and Twisted Quantum Spectral Curve
• Quantum Spectral Curve and the Numerical Solution of the Spectral Problem in AdS5/CFT4
• Analytic Solution of Bremsstrahlung TBA
• Towards integrability for AdS3/CFT2
• Quantum folded string and integrability: from finite size effects to Konishi dimension
• Solving the AdS/CFT Y-system
• Conserved currents and $\text{T}{\bar{\text{T}}}_s$ irrelevant deformations of 2D integrable field theories
• TBA equations and resurgent Quantum Mechanics
• Integrability of the AdS_5 x S^5 superstring and its deformations
• The Quantum Deformed Mirror TBA I
• TBA, NLO Luscher correction, and double wrapping in twisted AdS/CFT
• Konishi operator at intermediate coupling
• Analytic Solution of Bremsstrahlung TBA II: Turning on the Sphere Angle
• Quantum Spectral Curve for a Cusped Wilson Line in N=4 SYM
• Quantum Spectral Curve at Work: From Small Spin to Strong Coupling in N=4 SYM
• Multiple zeta functions and double wrapping in planar N=4 SYM
• The spectral problem for strings on twisted AdS_5 x S^5
• Twisting the Mirror TBA
• The full Quantum Spectral Curve for $Ad{S}_4/CF{T}_3$
• Introduction to the thermodynamic Bethe ansatz
• On the Dressing Factors, Bethe Equations and Yangian Symmetry of Strings on AdS3 x S3 x T4
• The Quantum Deformed Mirror TBA II
• Y-system and beta-deformed N=4 Super-Yang-Mills
• Review of AdS/CFT Integrability, Chapter III.3: The dressing factor
• Monodromy Bootstrap for SU(2|2) Quantum Spectral Curves: From Hubbard model to AdS3/CFT2
• $Ad{S}_5\times S^5$ mirror TBA equations from Y-system and discontinuity relations
• Review of AdS/CFT Integrability, Chapter III.7: Hirota Dynamics for Quantum Integrability
• Quantum Spectral Curve for the eta-deformed AdS_5xS^5 superstring
• Mirror Thermodynamic Bethe Ansatz for AdS3/CFT2
• Hybrid-NLIE for the AdS/CFT spectral problem
• The Hagedorn temperature of AdS5/CFT4 via integrability
• String hypothesis for gl(n|m) spin chains: a particle/hole democracy
• Six-loop Konishi anomalous dimension from the Y-system
• The spectrum of tachyons in AdS/CFT
• The ${\mathrm{AdS}}_3\times {\mathrm{S}}^3\times {\mathrm{S}}^3\times {\mathrm{S}}^1$ worldsheet S matrix
• Strong coupling results from the numerical solution of the quantum spectral curve
• Comments on the Mirror TBA
• On wrapping corrections to GKP-like operators
• Exploring the spectrum of planar $Ad{S}_4/CF{T}_3$ at finite coupling
• Quantum folded string in S^5 and the Konishi multiplet at strong coupling
• Asymptotic Four Point Functions
• TBA equations for the Schrödinger equation with a regular singularity
• Hybrid NLIE for the Mirror AdS_5 x S^5
• Quantum Spectral Curve of $\gamma$-twisted $\mathcal{N}=4$ SYM theory and fishnet CFT
• Exceptional Operators in N=4 super Yang-Mills
• Solving the Hagedorn temperature of AdS5/CFT4 via the Quantum Spectral Curve: Chemical potentials and deformations
• A next-to-leading Luescher formula
• Y-system for Y=0 brane in planar AdS/CFT
• Boundary finite size corrections for multiparticle states and planar AdS/CFT
• Numerical results for the exact spectrum of planar AdS4/CFT3
• Structure constants of short operators in planar $\mathcal{N}=4$ SYM theory
• Finite size effect on the magnon's correlation functions
• Lifting asymptotic degeneracies with the Mirror TBA
• A new representation for two- and three-point correlators of operators from sl(2) sector
• Y-system for Z_S Orbifolds of N=4 SYM
• On the $Ad{S}_5/CF{T}_4$ TBA and its analytic properties
• Bound States in the Mirror TBA
• Discontinuity relations for the AdS(4)/CFT(3) correspondence
• Reformulating the TBA equations for the quark anti-quark potential and their two loop expansion
• Quasi-local formulation of the mirror TBA
• ABJM quantum spectral curve and Mellin transform
• Orbifolded Konishi from the Mirror TBA
• 6-loop anomalous dimension of a single impurity operator from AdS/CFT and multiple zeta values
• TBA-like equations and Casimir effect in (non-)perturbative AdS/CFT
• Integrability treatment of AdS/CFT orbifolds
• Superspace methods for the computation of wrapping effects in the standard and beta-deformed N=4 SYM
• Exact result in N=4 SYM theory: Generalised double-logarithmic equation
• Contour deformation trick in hybrid NLIE
• On analytical perturbative solution of ABJM quantum spectral curve
• ABJM quantum spectral curve at twist 1: algorithmic perturbative solution
• Wrapping corrections, reciprocity and BFKL beyond the sl(2) subsector in N=4 SYM
• On a discrete symmetry of the Bremsstrahlung function in N=4 SYM
• DGLAP and BFKL equations in $\mathcal{N}=4$ SYM: from weak to strong coupling
• Extensive numerical study of a D-brane, anti-D-brane system in AdS5/CFT4
• Lee-Yang Model in Presence of Defects
• Exact Results in Supersymmetric Gauge Theories
• On the one-loop curvature function in the $sl(2)$ sector of $\mathcal{N}=4$ SYM
• Quantum Spectral Curve for AdS${}_3$/CFT${}_2$: a proposal
• Beyond cusp anomalous dimension from integrability in SYM${}_4$
• Large spin expansion of the wrapping correction to Freyhult-Rej-Zieme twist operators
• Anomalous dimensions of twist 2 operators and $\mathcal{N}=4$ SYM quantum spectral curve
• A diagrammatic approach towards the thermodynamics of integrable systems