Hybrid NLIE for the Mirror AdS_5 x S^5

Abstract

We revisit the derivation of hybrid nonlinear integral equations of the XXX model starting from the linearization of the T-system related to spinon variables. We obtain two sets of equations, corresponding to two linearly independent solutions of A_1 TQ-relation. Recalling that the TQ-relations in the horizontal strips of the su(2|4|2)-hook is of A_1 type, we replace the corresponding Y-functions by a finite number of auxiliary variables.

1+39 pages, 2 figures, v2: Discussions in section 3 simplified, typo corrected, references and note added, v3: Derivation improved, published version, v4: Revised note added

References in corpus (25)

• 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
• String hypothesis for the AdS_5 x S^5 mirror
• A Shortcut to the Q-Operator
• Wrapping at four loops in N=4 SYM
• Hidden Grassmann Structure in the XXZ Model II: Creation Operators
• Supersymmetric Bethe Ansatz and Baxter Equations from Discrete Hirota Dynamics
• Wrapping interactions at strong coupling -- the giant magnon
• Anomalous dimension with wrapping at four loops in N=4 SYM
• Search for New Physics with Jets and Missing Transverse Momentum in pp collisions at sqrt(s) = 7 TeV
• Quantum folded string and integrability: from finite size effects to Konishi dimension
• Solving the AdS/CFT Y-system
• The Konishi multiplet at strong coupling
• Semiclassical string computation of strong-coupling corrections to dimensions of operators in Konishi multiplet
• Wronskian Solution for AdS/CFT Y-system
• Konishi operator at intermediate coupling
• Simplified TBA equations of the AdS_5 x S^5 mirror model
• Y-system and beta-deformed N=4 Super-Yang-Mills
• Chiral gauge dynamics and dynamical supersymmetry breaking
• Discrete Hirota dynamics for AdS/CFT
• Bound State Transfer Matrix for AdS5 x S5 Superstring
• String hypothesis for gl(n|m) spin chains: a particle/hole democracy
• Twist operators in N=4 beta-deformed theory
• On wrapping corrections to GKP-like operators
• Unified approach to the SU(2) Principal Chiral Field model at Finite Volume

Cited by in corpus (19)

• Analytic Solution of Bremsstrahlung TBA
• Towards integrability for AdS3/CFT2
• Solving the AdS/CFT Y-system
• 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
• The spectral problem for strings on twisted AdS_5 x S^5
• $Ad{S}_5\times S^5$ mirror TBA equations from Y-system and discontinuity relations
• Wronskian solutions of the T, Q and Y-systems related to infinite dimensional unitarizable modules of the general linear superalgebra gl(M|N)
• Hybrid-NLIE for the AdS/CFT spectral problem
• Comments on the Mirror TBA
• Numerical results for the exact spectrum of planar AdS4/CFT3
• $T\overline{T}$ deformation in SCFTs and integrable supersymmetric theories
• Lifting asymptotic degeneracies with the Mirror TBA
• Discontinuity relations for the AdS(4)/CFT(3) correspondence
• Quasi-local formulation of the mirror TBA
• 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