Strongly γ-deformed N=4 SYM as an integrable CFT

Abstract

We demonstrate by explicit multi-loop calculation that γ-deformed planar N=4 SYM, supplemented with a set of double-trace counter-terms, has two nontrivial fixed points in the recently proposed double scaling limit, combining vanishing 't Hooft coupling and large imaginary deformation parameter. We provide evidence that, at the fixed points, the theory is described by an integrable non-unitary four-dimensional CFT. We find a closed expression for the four-point correlation function of the simplest protected operators and use it to compute the exact conformal data of operators with arbitrary Lorentz spin. We conjecture that both conformal symmetry and integrability should survive in γ-deformed planar N=4 SYM for arbitrary values of the deformation parameters.

arXiv comment5 pages, 1 figure; typos corrected

References in corpus (26)

• Deforming field theories with $U(1)\times U(1)$ global symmetry and their gravity duals
• Conformal Four Point Functions and the Operator Product Expansion
• Exactly Marginal Operators and Duality in Four Dimensional N=1 Supersymmetric Gauge Theory
• Lax Pair for Strings in Lunin-Maldacena Background
• Quantum spectral curve for AdS_5/CFT_4
• Beauty and the Twist: The Bethe Ansatz for Twisted N=4 SYM
• New integrable non-gauge 4D QFTs from strongly deformed planar N=4 SYM
• 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
• All point correlation functions in SYK
• Perturbative Search for Fixed Lines in Large N Gauge Theories
• T-system on T-hook: Grassmannian Solution and Twisted Quantum Spectral Curve
• Large N Field Theory and AdS Tachyons
• Integrability of Conformal Fishnet Theory
• Yangian Symmetry for Fishnet Feynman Graphs
• Effective potential in non-supersymmetric SU(N) x SU(N) gauge theory and interactions of type 0 D3-branes
• Conformal algebra: R-matrix and star-triangle relation
• TBA, NLO Luscher correction, and double wrapping in twisted AdS/CFT
• Quantum Spectral Curve for a Cusped Wilson Line in N=4 SYM
• Noncompact Heisenberg spin magnets from high-energy QCD: II. Quantization conditions and energy spectrum
• Non-conformality of gamma_i-deformed N=4 SYM theory
• On a CFT limit of planar ${\gamma }_i$-deformed $\mathcal{N}=4$ SYM theory
• Conformal bootstrap for the BFKL Pomeron
• Introduction to the Spectrum of N=4 SYM and the Quantum Spectral Curve
• A piece of cake: the ground-state energies in gamma_i-deformed N=4 SYM theory
• RG stability of integrable fishnet models

Cited by in corpus (62)

• The Conformal Bootstrap: Theory, Numerical Techniques, and Applications
• Walking, Weak first-order transitions, and Complex CFTs
• An introduction to the SYK model
• $d$-dimensional SYK, AdS Loops, and $6j$ Symbols
• Traintracks Through Calabi-Yaus: Amplitudes Beyond Elliptic Polylogarithms
• Quantum Spectral Curve and Structure Constants in N=4 SYM: Cusps in the Ladder Limit
• Embedding Feynman Integral (Calabi-Yau) Geometries in Weighted Projective Space
• The $O(N)$ Model in $4<d<6$: Instantons and Complex CFTs
• Bi-scalar integrable CFT at any dimension
• AdS Maps and Diagrams of Bi-local Holography
• Prismatic Large $N$ Models for Bosonic Tensors
• Basso-Dixon Correlators in Two-Dimensional Fishnet CFT
• Scattering Amplitudes -- Wilson Loops Duality for the First Non-planar Correction
• Exact Correlation Functions in Conformal Fishnet Theory
• Symmetry Breaking in Coupled SYK or Tensor Models
• The Holographic Fishchain
• Separation of Variables in AdS/CFT: Functional Approach for the Fishnet CFT
• Thermodynamic Bethe Ansatz for Fishnet CFT
• Continuum limit of fishnet graphs and AdS sigma model
• Holographic Complex Conformal Field Theories
• Quantum Fishchain in $Ad{S}_5$
• Exactly solvable single-trace four point correlators in $\chi$CFT${}_4$
• Hexagons and Correlators in the Fishnet Theory
• Bootstrapping elliptic Feynman integrals using Schubert analysis
• Colour-Twist Operators I: Spectrum and Wave Functions
• Spontaneous Conformal Symmetry Breaking in Fishnet CFT
• Solving the Hagedorn temperature of AdS5/CFT4 via the Quantum Spectral Curve: Chemical potentials and deformations
• Massive Fishnets
• The One-Loop Spectral Problem of Strongly Twisted $\mathcal{N}$=4 Super Yang-Mills Theory
• Open Fishchain in N=4 Supersymmetric Yang-Mills Theory
• The Loom for General Fishnet CFTs
• Exact scattering amplitudes in conformal fishnet theory
• The F-theorem in the melonic limit
• Conformal Symmetry and Composite Operators in the $O(N{)}^3$ Tensor Field Theory
• Yangian Ward Identities for Fishnet Four-Point Integrals
• The Integrable (Hyper)eclectic Spin Chain
• Integrability for Feynman Integrals
• Hexagonalization of Fishnet integrals I: mirror excitations
• Ladder and zig-zag Feynman diagrams, operator formalism and conformal triangles
• Twistor fishnets
• Instability of complex CFTs with operators in the principal series
• Combinatorial Solution of the Eclectic Spin Chain
• Conformal Triangles and Zig-Zag Diagrams
• Amplitudes in fishnet theories in diverse dimensions and Box ladder diagrams
• N=4 SYM Quantum Spectral Curve in BFKL regime
• Checkerboard CFT
• Light-cone limits of large rectangular fishnets
• ABJM quantum spectral curve at twist 1: algorithmic perturbative solution
• On analytical perturbative solution of ABJM quantum spectral curve
• Correlation functions of determinant operators in conformal fishnet theory
• Fishnet four-point integrals: integrable representations and thermodynamic limits
• Regge amplitudes in Generalized Fishnet and Chiral Fishnet Theories
• Bootstrability in Defect CFT: Integrated Correlators and Sharper Bounds
• A Large Twist Limit for Any Operator
• Dilaton in scalar QFT: a no-go theorem in $4-\epsilon$ and $3-\epsilon$ dimensions
• On the Regge limit of Fishnet correlators
• Dual Conformal Symmetry and Iterative Integrals in Six Dimensions
• BC-type open $SL(2,\mathbb{C})$ spin chain
• Spin-$s$ $Q$-systems: Twist and Open Boundaries
• The Stratification of Rigidity
• Non-perturbative Aspects of Quantum Field Theories from Holography
• Convexity, large charge and the large-N phase diagram of the ${\phi }^4$ theory