Large N anomalous dimensions for large operators in Leigh-Strassler deformed SYM

TL;DR

This paper investigates the large N anomalous dimensions of high-dimension operators in a Leigh-Strassler deformed N=4 SYM, revealing their duality to giant gravitons and solving the dilatation operator via a double coset ansatz and harmonic oscillators.

Contribution

It introduces a novel approach to diagonalize the dilatation operator for large N operators in the deformed theory, combining a double coset ansatz with harmonic oscillator techniques.

Findings

Large N anomalous dimensions are computed for operators with dimension of order N.

Diagonalization reduces to two problems: a double coset structure and harmonic oscillators.

Results connect operator dimensions to dual giant graviton states.

Abstract

We study the large N anomalous dimensions of operators in a Leigh-Strassler deformation of N=4 super Yang-Mills theory. The operators that we study have a bare dimension of order N (so that the large N limit is not captured by planar diagrams) and are AdS/CFT dual to giant gravitons. The diagonalization of the dilatation operator factorizes into two problems. One of these problems is solved using a double coset ansatz. The second problem is equivalent to a set of decoupled harmonic oscillators.