Thermodynamic Bethe Ansatz for Fishnet CFT

Abstract

We present the TBA equations and the Y-system for the exact spectrum of general multi-magnon local operators in the $D$-dimensional anisotropic version of the bi-scalar fishnet CFT. The mixing matrix of such operators is given in terms of fishnet planar graphs of multi-wheel and multi-spiral type. These graphs probe the two main building blocks of the TBA approach that are the magnon dispersion relation and the magnon scattering matrix and which we both obtain by diagonalising suitable graph-building operators. We also obtain the dual version of the TBA equations, which relates, in the continuum limit, $D$-dimensional graphs to two dimensional sigma models in $Ad{S}_{D+1}$. It allows us to verify a general formula obtained by A.~Zamolodchikov for the critical coupling.

arXiv comment7 pages, 2 figures

References in corpus (49)

• Review of AdS/CFT Integrability: An Overview
• Asymptotic expansion of Feynman integrals near threshold
• Transcendentality and Crossing
• Long-Range PSU(2,2|4) Bethe Ansaetze for Gauge Theory and Strings
• The su(2|2) Dynamic S-Matrix
• The AdS_5xS^5 superstring worldsheet S-matrix and crossing symmetry
• Integrability for the Full Spectrum of Planar AdS/CFT II
• Integrability for the Full Spectrum of Planar AdS/CFT
• A Crossing-Symmetric Phase for AdS_5 x S^5 Strings
• Thermodynamic Bethe Ansatz for the AdS_5 x S^5 Mirror Model
• Quantum spectral curve for AdS_5/CFT_4
• Excited states by analytic continuation of TBA equations
• Integrable Quantum Field Theories in Finite Volume: Excited State Energies
• New integrable non-gauge 4D QFTs from strongly deformed planar N=4 SYM
• Excited State Destri - De Vega Equation for Sine-Gordon and Restricted Sine-Gordon Models
• Quantum spectral curve for arbitrary state/operator in AdS${}_5$/CFT${}_4$
• Noncompact Heisenberg spin magnets from high-energy QCD: I. Baxter Q-operator and Separation of Variables
• Thermodynamic Bethe Ansatz for planar AdS/CFT: a proposal
• Hexagonalization of Correlation Functions
• Structure Constants and Integrable Bootstrap in Planar N=4 SYM Theory
• Tessellating cushions: four-point functions in N=4 SYM
• Feynman integrals and hyperlogarithms
• Gluing Ladders into Fishnets
• Strongly γ-deformed N=4 SYM as an integrable CFT
• Integrability of Conformal Fishnet Theory
• Yangian Symmetry for Fishnet Feynman Graphs
• Bi-scalar integrable CFT at any dimension
• Conformal algebra: R-matrix and star-triangle relation
• Yangian Symmetry for Bi-Scalar Loop Amplitudes
• TBA, NLO Luscher correction, and double wrapping in twisted AdS/CFT
• Basso-Dixon Correlators in Two-Dimensional Fishnet CFT
• Exact Correlation Functions in Conformal Fishnet Theory
• On a CFT limit of planar ${\gamma }_i$-deformed $\mathcal{N}=4$ SYM theory
• Dual Separated Variables and Scalar Products
• Generalized Fishnets and Exact Four-Point Correlators in Chiral CFT${}_4$
• The Holographic Fishchain
• Integrable Fishnet from $\gamma$-Deformed $\mathcal{N}=2$ Quivers
• Continuum limit of fishnet graphs and AdS sigma model
• RG stability of integrable fishnet models
• Quantum Fishchain in $Ad{S}_5$
• Hexagons and Correlators in the Fishnet Theory
• Iterative construction of eigenfunctions of the monodromy matrix for SL(2,C) magnet
• The Holographic Dual of Strongly γ-deformed N=4 SYM Theory: Derivation, Generalization, Integrability and Discrete Reparametrization Symmetry
• Quantum Spectral Curve of $\gamma$-twisted $\mathcal{N}=4$ SYM theory and fishnet CFT
• TBA equations for the mass gap in the O(2r) non-linear sigma-models
• The One-Loop Spectral Problem of Strongly Twisted $\mathcal{N}$=4 Super Yang-Mills Theory
• Exact scattering amplitudes in conformal fishnet theory
• Twistor fishnets
• Chaos in the Fishnet

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• QQ-system and Weyl-type transfer matrices in integrable SO(2r) spin chains
• Solving the Hagedorn temperature of AdS5/CFT4 via the Quantum Spectral Curve: Chemical potentials and deformations
• Mirror channel eigenvectors of the $d$-dimensional fishnets
• The Loom for General Fishnet CFTs
• Form-factors and complete basis of observables via separation of variables for higher rank spin chains
• Hexagonalization of Fishnet integrals I: mirror excitations
• Instability of complex CFTs with operators in the principal series
• Extended systems of Baxter Q-functions and fused flags I: simply-laced case
• Checkerboard CFT
• Amplitudes in fishnet theories in diverse dimensions and Box ladder diagrams
• Mellin$-$Barnes Transformation for Two-Loop Master-Diagram
• Conformal quantum mechanics & the integrable spinning Fishnet
• Loop Operators in Three-Dimensional $\mathcal{N}=2$ Fishnet Theories
• Light-cone limits of large rectangular fishnets
• Correlation functions of determinant operators in conformal fishnet theory
• Regge amplitudes in Generalized Fishnet and Chiral Fishnet Theories
• Fishnet four-point integrals: integrable representations and thermodynamic limits
• Determinant Form of Correlators in High Rank Integrable Spin Chains via Separation of Variables
• A Large Twist Limit for Any Operator
• Hypergeometry from $\hat{\mathrm{P}}$-Symmetry: Feynman Integrals in One and Two Dimensions