DLCQ String Spectrum from ${\cal N}=2$ SYM Theory

TL;DR

This paper analyzes the spectrum of string states dual to ${ m N}=2$ SYM operators in a pp-wave background with a compact light-cone, providing analytical results for non-planar corrections and string loop effects.

Contribution

It presents a method to compute non-planar corrections to the string spectrum in a compact light-cone setting, including all orders of string loop corrections.

Findings

Analytical expressions for non-planar corrections to the spectrum.

Simplification due to positive discrete light-cone momentum.

Correspondence between gauge theory operator mixing and string loop corrections.

Abstract

We study non planar corrections to the spectrum of operators in the ${\mathcal N}=2$ supersymmetric Yang Mills theory which are dual to string states in the maximally supersymmetric pp-wave background with a {\em compact} light-cone direction. The existence of a positive definite discrete light-cone momentum greatly simplifies the operator mixing problem. We give some examples where the contribution of all orders in non-planar diagrams can be found analytically. On the string theory side this corresponds to finding the spectrum of a string state to all orders in string loop corrections.