Y-system and Quasi-Classical Strings

Abstract

Recently Kazakov, Vieira and the author conjectured the Y-system set of equations describing the planar spectrum of AdS/CFT. In this paper we solve the Y-system equations in the strong coupling scaling limit. We show that the quasi-classical spectrum of string moving inside AdS3 x S1 matches precisely with the prediction of the Y-system. Thus the Y-system, unlike the asymptotic Bethe ansatz, describes correctly the spectrum of one-loop string energies including all exponential finite size corrections. This gives a very non-trivial further support in favor of the conjecture.

references added, published version

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Cited by in corpus (56)

• Integrability and the AdS(3)/CFT(2) correspondence
• The quark anti-quark potential and the cusp anomalous dimension from a TBA equation
• Quantum spectral curve for arbitrary state/operator in AdS${}_5$/CFT${}_4$
• Integrable Wilson loops
• Extended Y-system for the $Ad{S}_5/CF{T}_4$ correspondence
• Five-loop Konishi from the Mirror TBA
• Quantum folded string and integrability: from finite size effects to Konishi dimension
• Solving the AdS/CFT Y-system
• Superstrings in AdS(2)xS(2)xT(6)
• Exploring the mirror TBA
• Structure constants at wrapping order
• Y-system, TBA and Quasi-Classical Strings in AdS4 x CP3
• Wronskian Solution for AdS/CFT Y-system
• Konishi operator at intermediate coupling
• PSU(2,2|4) Character of Quasiclassical AdS/CFT
• 5-loop Konishi from linearized TBA and the XXX magnet
• Y-system and beta-deformed N=4 Super-Yang-Mills
• Twisted Bethe equations from a twisted S-matrix
• Clustering and the Three-Point Function
• $Ad{S}_5\times S^5$ mirror TBA equations from Y-system and discontinuity relations
• Excited Hexagon Wilson Loops for Strongly Coupled N=4 SYM
• Wronskian solutions of the T, Q and Y-systems related to infinite dimensional unitarizable modules of the general linear superalgebra gl(M|N)
• Review of AdS/CFT Integrability, Chapter III.7: Hirota Dynamics for Quantum Integrability
• Continuum limit of fishnet graphs and AdS sigma model
• The Bajnok-Janik formula and wrapping corrections
• Exact computation of one-loop correction to energy of pulsating strings in AdS_5 x S^5
• Hybrid-NLIE for the AdS/CFT spectral problem
• A note on the eigenvectors of long-range spin chains and their scalar products
• Comments on the Mirror TBA
• Two-loop AdS_5 x S^5 superstring: testing asymptotic Bethe ansatz and finite size corrections
• On Yangian and Long Representations of the Centrally Extended su(2|2) Superalgebra
• Quantum folded string in S^5 and the Konishi multiplet at strong coupling
• Hybrid NLIE for the Mirror AdS_5 x S^5
• Scaling dimensions from the mirror TBA
• First-principles derivation of the AdS/CFT Y-systems
• A next-to-leading Luescher formula
• Numerical results for the exact spectrum of planar AdS4/CFT3
• Spiky strings in Bethe Ansatz at strong coupling
• Structure constants of short operators in planar $\mathcal{N}=4$ SYM theory
• Lifting asymptotic degeneracies with the Mirror TBA
• Y-system for Z_S Orbifolds of N=4 SYM
• Bound States in the Mirror TBA
• Scattering of Giant Magnons in CP^3
• Quasi-local formulation of the mirror TBA
• Orbifolded Konishi from the Mirror TBA
• Spectral curve for open strings attached to the Y=0 brane
• Finite-size effects of beta-deformed AdS_5/CFT_4 at strong coupling
• Generalized Gribov-Lipatov Reciprocity and AdS/CFT
• The Hirota equation for string theory in AdS5xS5 from the fusion of line operators
• Superspace methods for the computation of wrapping effects in the standard and beta-deformed N=4 SYM
• Wrapping corrections, reciprocity and BFKL beyond the sl(2) subsector in N=4 SYM
• Wrapping effects in supersymmetric gauge theories
• Integrable systems and AdS/CFT duality
• Extensive numerical study of a D-brane, anti-D-brane system in AdS5/CFT4
• Large spin expansion of the wrapping correction to Freyhult-Rej-Zieme twist operators
• Semiclassical short strings in AdS_5 x S^5