Hybrid-NLIE for the AdS/CFT spectral problem

Abstract

Hybrid-NLIE equations, an alternative finite NLIE description for the spectral problem of the super sigma model of AdS/CFT and its gamma-deformations are derived by replacing the semi-infinite SU(2) and SU(4) parts of the AdS/CFT TBA equations by a few appropriately chosen complex NLIE variables, which are coupled among themselves and to the Y-functions associated to the remaining central nodes of the TBA diagram. The integral equations are written explicitly for the ground state of the gamma-deformed system. We linearize these NLIE equations, analytically calculate the first correction to the asymptotic solution and find agreement with analogous results coming from the original TBA formalism. Our equations differ substantially from the recently published finite FiNLIE formulation of the spectral problem.

63 pages, 1 figure

References in corpus (23)

• 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
• Dressing and Wrapping
• String hypothesis for the AdS_5 x S^5 mirror
• Wrapping at four loops in N=4 SYM
• Supersymmetric Bethe Ansatz and Baxter Equations from Discrete Hirota Dynamics
• Wrapping interactions at strong coupling -- the giant magnon
• Wronskian Solution for AdS/CFT Y-system
• Konishi operator at intermediate coupling
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• The spectral problem for strings on twisted AdS_5 x S^5
• Twisting the Mirror TBA
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• Y-system and beta-deformed N=4 Super-Yang-Mills
• Twisted Bethe equations from a twisted S-matrix
• The Bajnok-Janik formula and wrapping corrections
• Single impurity operators at critical wrapping order in the beta-deformed N=4 SYM
• Proof of ultra-violet finiteness for a planar non-supersymmetric Yang-Mills theory
• Exact finite size spectrum in super sine-Gordon model
• Scaling dimensions from the mirror TBA
• Bound States in the Mirror TBA
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Cited by in corpus (24)

• 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 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
• Quantum Spectral Curve at Work: From Small Spin to Strong Coupling in N=4 SYM
• String field theory vertex from integrability
• The Quantum Deformed Mirror TBA II
• Surprises in the AdS algebraic curve constructions - Wilson loops and correlation functions
• Quantum Spectral Curve for the eta-deformed AdS_5xS^5 superstring
• From the octagon to the SFT vertex - gluing and multiple wrapping
• Six-loop Konishi anomalous dimension from the Y-system
• Six and seven loop Konishi from Luscher corrections
• Twist-two operators and the BFKL regime - nonstandard solutions of the Baxter equation
• Exceptional Operators in N=4 super Yang-Mills
• A next-to-leading Luescher formula
• $T\overline{T}$ deformation in SCFTs and integrable supersymmetric theories
• Discontinuity relations for the AdS(4)/CFT(3) correspondence
• The Tetrahedron Zamolodchikov Algebra and the AdS5 x S5 S-matrix
• Contour deformation trick in hybrid NLIE
• Extensive numerical study of a D-brane, anti-D-brane system in AdS5/CFT4
• Exact results for the low energy AdS(4)XCP(3) string theory