Y-system and beta-deformed N=4 Super-Yang-Mills

Abstract

We show how the perturbation theory results recently obtained by F.Fiamberti, A.Santambrogio, C.Sieg and D.Zanon for operator anomalous dimensions of beta-deformed Super-Yang-Mills theory can be reproduced from the AdS5/CFT4 Y-system proposed by N.G., V.Kazakov and P.Vieira. To do this, we obtain the general twisted asymptotic solution of this Y-system of functional equations. We show that existence of an additional parameter beta in the deformed theory allows to extract rich information about the perturbation theory integrals directly from Y-system. Using this method we found a simple generating function for a broad class of such integrals.

clarifications added to Appendix; published version

References in corpus (67)

• Gauge Theory Correlators from Non-Critical String Theory
• Microscopic Origin of the Bekenstein-Hawking Entropy
• N=6 superconformal Chern-Simons-matter theories, M2-branes and their gravity duals
• The Bethe-Ansatz for N=4 Super Yang-Mills
• Gauge Symmetry and Supersymmetry of Multiple M2-Branes
• Modeling Multiple M2's
• Transcendentality and Crossing
• Deforming field theories with $U(1)\times U(1)$ global symmetry and their gravity duals
• Exactly Marginal Operators and Duality in Four Dimensional N=1 Supersymmetric Gauge Theory
• Long-Range PSU(2,2|4) Bethe Ansaetze for Gauge Theory and Strings
• Fractional M2-branes
• Giant Magnons
• The Factorized S-Matrix of CFT/AdS
• The AdS_5xS^5 superstring worldsheet S-matrix and crossing symmetry
• Lax Pair for Strings in Lunin-Maldacena Background
• Integrability for the Full Spectrum of Planar AdS/CFT II
• Integrability for the Full Spectrum of Planar AdS/CFT
• Thermodynamic Bethe Ansatz for the AdS_5 x S^5 Mirror Model
• Wrapping interactions and a new source of corrections to the spin-chain/string duality
• Four-loop perturbative Konishi from strings and finite size effects for multiparticle states
• Excited states by analytic continuation of TBA equations
• The Bethe ansatz for superconformal Chern-Simons
• Integrable Quantum Field Theories in Finite Volume: Excited State Energies
• Gauge-string duality for superconformal deformations of N=4 Super Yang-Mills theory
• Beauty and the Twist: The Bethe Ansatz for Twisted N=4 SYM
• The all loop AdS4/CFT3 Bethe ansatz
• Exact AdS/CFT spectrum: Konishi dimension at any coupling
• Quantization of models with non-compact quantum group symmetry. Modular XXZ magnet and lattice sinh-Gordon model
• Excited State Destri - De Vega Equation for Sine-Gordon and Restricted Sine-Gordon Models
• String hypothesis for the AdS_5 x S^5 mirror
• Deformations of N=4 SYM and integrable spin chain models
• Four loop twist two, BFKL, wrapping and strings
• Thermodynamic Bethe Ansatz for planar AdS/CFT: a proposal
• Magnon Bound States and the AdS/CFT Correspondence
• A Shortcut to the Q-Operator
• Supersymmetric Bethe Ansatz and Baxter Equations from Discrete Hirota Dynamics
• N=6 super Chern-Simons theory S-matrix and all-loop Bethe ansatz equations
• Gauge-string duality for (non)supersymmetric deformations of N=4 Super Yang-Mills theory
• Extended Y-system for the $Ad{S}_5/CF{T}_4$ correspondence
• Anomalous dimension with wrapping at four loops in N=4 SYM
• Two loop integrability for Chern-Simons theories with N=6 supersymmetry
• Complete 1-loop test of AdS/CFT
• Exact results in planar N=1 superconformal Yang-Mills theory
• Perturbative and non-perturbative aspects of pure N=1 super Yang-Mills theory from wrapped branes
• Analytic Bethe ansatz and functional equations associated with any simple root systems of the Lie superalgebra sl(r+1|s+1)
• Finite Volume Spectrum of 2D Field Theories from Hirota Dynamics
• TBA and Y-system for planar $Ad{S}_4/CF{T}_3$
• On spin chains and field theories
• Exploring the mirror TBA
• Y-system and Quasi-Classical Strings
• Y-system, TBA and Quasi-Classical Strings in AdS4 x CP3
• Wronskian Solution for AdS/CFT Y-system
• Konishi operator at intermediate coupling
• Two-loop Integrability of Planar N=6 Superconformal Chern-Simons Theory
• PSU(2,2|4) Character of Quasiclassical AdS/CFT
• Analytic Bethe ansatz and functional equations for Lie superalgebra sl(r+1|s+1)
• Giant magnons in TsT-transformed AdS_5 x S^5
• Finite-size effects in the superconformal beta-deformed N=4 SYM
• Backlund transformations for difference Hirota equation and supersymmetric Bethe ansatz
• Five-loop anomalous dimension at critical wrapping order in N=4 SYM
• Finite-size effect for four-loop Konishi of the beta-deformed N=4 SYM
• Single impurity operators at critical wrapping order in the beta-deformed N=4 SYM
• Leading transcedental contribution to the four-loop universal anomalous dimension in N=4 SYM
• Wrapping in maximally supersymmetric and marginally deformed N=4 Yang-Mills
• On the wrapping correction to single magnon energy in twisted N=4 SYM
• A comment on $p$-branes of ($p+3$)$\mathrm{d}$ string theory
• Superspace methods for the computation of wrapping effects in the standard and beta-deformed N=4 SYM

Cited by in corpus (39)

• New integrable non-gauge 4D QFTs from strongly deformed planar N=4 SYM
• T-system on T-hook: Grassmannian Solution and Twisted Quantum Spectral Curve
• Integrability of the AdS_5 x S^5 superstring and its deformations
• Review of AdS/CFT Integrability, Chapter IV.2: Deformations, Orbifolds and Open Boundaries
• Wronskian Solution for AdS/CFT Y-system
• The Quantum Deformed Mirror TBA I
• Quantum Spectral Curve for a Cusped Wilson Line in N=4 SYM
• Analytic Solution of Bremsstrahlung TBA II: Turning on the Sphere Angle
• Multiple zeta functions and double wrapping in planar N=4 SYM
• Exact Correlation Functions in Conformal Fishnet Theory
• Oscillator Construction of su(n|m) Q-Operators
• Non-conformality of gamma_i-deformed N=4 SYM theory
• The spectral problem for strings on twisted AdS_5 x S^5
• Introduction to the thermodynamic Bethe ansatz
• Finite-size effect for four-loop Konishi of the beta-deformed N=4 SYM
• The complete one-loop dilatation operator of planar real beta-deformed N=4 SYM theory
• A piece of cake: the ground-state energies in gamma_i-deformed N=4 SYM theory
• Hybrid-NLIE for the AdS/CFT spectral problem
• Twist operators in N=4 beta-deformed theory
• On wrapping corrections to GKP-like operators
• Hybrid NLIE for the Mirror AdS_5 x S^5
• Colour-Twist Operators I: Spectrum and Wave Functions
• Integrable Wilson loops in ABJM: a $Y$-system computation of the cusp anomalous dimension
• Worldsheet S-matrix of beta-deformed SYM
• Chaotic spin chains in AdS/CFT
• Y-system for Z_S Orbifolds of N=4 SYM
• Orbifolded Konishi from the Mirror TBA
• Finite-size effects of beta-deformed AdS_5/CFT_4 at strong coupling
• Y-system for $\gamma$-deformed ABJM Theory
• The fate of the Konishi multiplet in the β-deformed Quantum Spectral Curve
• Superspace methods for the computation of wrapping effects in the standard and beta-deformed N=4 SYM
• Contour deformation trick in hybrid NLIE
• Structure constants of $\beta$ deformed super Yang-Mills
• Lee-Yang Model in Presence of Defects
• Spectral curve for gamma-deformed AdS/CFT
• Generalised cusp anomalous dimension in beta-deformed super Yang Mills theory
• Tunnelling of Pulsating Strings in Deformed Minkowski Spacetime
• A hitchhiker's guide to quantum field theoretic aspects of $\mathcal{N}=4$ SYM theory and its deformations
• Pulsating Strings in Deformed Backgrounds