Strongly \gamma-deformed N=4 SYM as an integrable CFT

TL;DR

This paper shows that a specific deformation of N=4 SYM, with added counter-terms, leads to an integrable, non-unitary conformal field theory at certain fixed points, with exact correlation functions and conformal data computed.

Contribution

It provides explicit multi-loop calculations demonstrating the existence of fixed points and integrability in b3-deformed N=4 SYM with double-trace counter-terms, and derives exact correlation functions.

Findings

Identification of nontrivial fixed points in the deformed theory.

Exact four-point correlation functions for protected operators.

Conjecture that conformal symmetry and integrability persist for all deformation parameters.

Abstract

We demonstrate by explicit multi-loop calculation that \gamma-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 \gamma-deformed planar N=4 SYM for arbitrary values of the deformation parameters.