Solving the AdS/CFT Y-system

Abstract

Using integrability and analyticity properties of the AdS5/CFT4 Y-system we reduce it to a finite set of nonlinear integral equations. The Z4 symmetry of the underlying coset sigma model, in its quantum version, allows for a deeper insight into the analyticity structure of the underlying Y-functions and T-functions, as well as for their analyticity friendly parameterization in terms of Wronskian determinants of Q-functions. As a check for the new equations, we reproduce the numerical results for the Konishi operator previously obtained from the original infinite Y-system.

62 pages, 11 figures; version 3: published version

References in corpus (14)

• 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
• Supersymmetric Bethe Ansatz and Baxter Equations from Discrete Hirota Dynamics
• Baxter Q-Operators and Representations of Yangians
• Baxter's Q-operators for supersymmetric spin chains
• Wronskian Solution for AdS/CFT Y-system
• Konishi operator at intermediate coupling
• Deeper Look into Short Strings
• An exact slope for AdS/CFT
• Wronskian solutions of the T, Q and Y-systems related to infinite dimensional unitarizable modules of the general linear superalgebra gl(M|N)
• Discrete Hirota dynamics for AdS/CFT
• Quantum folded string in S^5 and the Konishi multiplet at strong coupling
• First-principles derivation of the AdS/CFT Y-systems
• Unified approach to the SU(2) Principal Chiral Field model at Finite Volume

Cited by in corpus (56)

• Quantum spectral curve for AdS_5/CFT_4
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• Quantum spectral curve for arbitrary state/operator in AdS${}_5$/CFT${}_4$
• 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
• Quantum spectral curve as a tool for a perturbative quantum field theory
• Integrability of the AdS_5 x S^5 superstring and its deformations
• The Quantum Deformed Mirror TBA I
• Analytic Solution of Bremsstrahlung TBA II: Turning on the Sphere Angle
• Multiple zeta functions and double wrapping in planar N=4 SYM
• Classical tau-function for quantum spin chains
• The spectral problem for strings on twisted AdS_5 x S^5
• Y-system for form factors at strong coupling in AdS5 and with multi-operator insertions in AdS3
• The full Quantum Spectral Curve for $Ad{S}_4/CF{T}_3$
• Deeper Look into Short Strings
• The Quantum Deformed Mirror TBA II
• Monodromy Bootstrap for SU(2|2) Quantum Spectral Curves: From Hubbard model to AdS3/CFT2
• Surprises in the AdS algebraic curve constructions - Wilson loops and correlation functions
• Quantum Spectral Curve for the eta-deformed AdS_5xS^5 superstring
• Hybrid-NLIE for the AdS/CFT spectral problem
• Computing Three-Point Functions for Short Operators
• Six-loop Konishi anomalous dimension from the Y-system
• Six and seven loop Konishi from Luscher corrections
• Strong coupling results from the numerical solution of the quantum spectral curve
• Three-point correlators of twist-2 operators in N=4 SYM at Born approximation
• Exploring the spectrum of planar $Ad{S}_4/CF{T}_3$ at finite coupling
• Asymptotic Four Point Functions
• A new integral representation for the scalar products of Bethe states for the XXX spin chain
• A review of the AdS/CFT Quantum Spectral Curve
• Twist-two operators and the BFKL regime - nonstandard solutions of the Baxter equation
• Quantum Spectral Curve of $\gamma$-twisted $\mathcal{N}=4$ SYM theory and fishnet CFT
• Exceptional Operators in N=4 super Yang-Mills
• A next-to-leading Luescher formula
• Solving the Hagedorn temperature of AdS5/CFT4 via the Quantum Spectral Curve: Chemical potentials and deformations
• Strings in AdS_4 x CP^3: finite size spectrum vs. Bethe Ansatz
• Structure constants of short operators in planar $\mathcal{N}=4$ SYM theory
• Discontinuity relations for the AdS(4)/CFT(3) correspondence
• ABJM quantum spectral curve and Mellin transform
• The Tetrahedron Zamolodchikov Algebra and the AdS5 x S5 S-matrix
• Extended systems of Baxter Q-functions and fused flags I: simply-laced case
• Integrability treatment of AdS/CFT orbifolds
• Contour deformation trick in hybrid NLIE
• ABJM quantum spectral curve at twist 1: algorithmic perturbative solution
• Integrable systems and AdS/CFT duality
• On analytical perturbative solution of ABJM quantum spectral curve
• Extensive numerical study of a D-brane, anti-D-brane system in AdS5/CFT4
• NLIE for the Sausage model
• DGLAP and BFKL equations in $\mathcal{N}=4$ SYM: from weak to strong coupling
• Exact results for the low energy AdS(4)XCP(3) string theory
• On a discrete symmetry of the Bremsstrahlung function in N=4 SYM
• Spectral curve for gamma-deformed AdS/CFT
• Quantum Spectral Curve for AdS${}_3$/CFT${}_2$: a proposal
• Anomalous dimensions of twist 2 operators and $\mathcal{N}=4$ SYM quantum spectral curve
• Comments on the slope function