BMN Operators for N=1 Superconformal Yang-Mills Theories and Associated String Backgrounds

TL;DR

This paper investigates near-BPS operators in deformed N=1 superconformal Yang-Mills theories, computes their exact scaling dimensions, and explores their connection to string theory backgrounds via the Penrose limit.

Contribution

It identifies specific operators in N=1 theories, calculates their exact scaling dimensions, and links these to string backgrounds, extending the understanding of gauge/string duality in less supersymmetric settings.

Findings

Exact scaling dimensions of operators computed

Connection established between operators and string backgrounds

Extension of gauge/string duality to N=1 theories

Abstract

We study a class of near-BPS operators for a complex 2-parameter family of N=1 superconformal Yang-Mills theories that can be obtained by a Leigh-Strassler deformation of N=4 SYM theory. We identify these operators in the large N and large R-charge limit and compute their exact scaling dimensions using N=1 superspace methods. From these scaling dimensions we attempt to reverse-engineer the light-cone worldsheet theory that describes string propagation on the Penrose limit of the dual geometry.