The Holographic Dual of Strongly γ-deformed N=4 SYM Theory: Derivation, Generalization, Integrability and Discrete Reparametrization Symmetry

Abstract

Recently, we constructed the first-principle derivation of the holographic dual of N=4 SYM in the double-scaled $\gamma$-deformed limit directly from the CFT side. The dual fishchain model is a novel integrable chain of particles in AdS5. It can be viewed as a discretized string and revives earlier string-bit approaches. The original derivation was restricted to the operators built out of one of two types of scalar fields. In this paper, we extend our results to the general operators having any number of scalars of both types, except for a very special case when their numbers are equal. Interestingly, the extended model reveals a new discrete reparametrization symmetry of the "world-sheet", preserving all integrals of motion. We use integrability to formulate a closed system of equations, which allows us to solve for the spectrum of the model in full generality, and present non-perturbative numerical results. We show that our results are in agreement with the Asymptotic Bethe Ansatz of the fishnet model up to the wrapping order at weak coupling.

30 pages, 11 figures. v2: references added

References in corpus (6)

• Supersymmetric Bethe Ansatz and Baxter Equations from Discrete Hirota Dynamics
• The Quantum Spectral Curve of the ABJM theory
• The Holographic Fishchain
• Separation of variables and scalar products at any rank
• Quantum Fishchain in $Ad{S}_5$
• The One-Loop Spectral Problem of Strongly Twisted $\mathcal{N}$=4 Super Yang-Mills Theory

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• Exactly solvable single-trace four point correlators in $\chi$CFT${}_4$
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• Open Fishchain in N=4 Supersymmetric Yang-Mills Theory
• The Loom for General Fishnet CFTs
• Combinatorial Solution of the Eclectic Spin Chain
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• Loop Operators in Three-Dimensional $\mathcal{N}=2$ Fishnet Theories
• Light-cone limits of large rectangular fishnets
• Fishnet four-point integrals: integrable representations and thermodynamic limits
• Correlation functions of determinant operators in conformal fishnet theory
• A Large Twist Limit for Any Operator