Supersymmetry and DLCQ

TL;DR

This paper discusses a method called SDLCQ that preserves supersymmetry exactly in discretized light cone quantization, enabling detailed study of supersymmetric theories and their connection to the Maldacena conjecture.

Contribution

It introduces SDLCQ, a formulation of DLCQ that maintains supersymmetry exactly, and applies it to various supersymmetric theories including higher dimensions and the Maldacena conjecture.

Findings

SDLCQ preserves supersymmetry exactly in discretized form.

Applied SDLCQ to study zero modes, vacuum degeneracy, and mass gaps.

Used SDLCQ to analyze the Maldacena conjecture.

Abstract

In this talk we describe the application of discrete light cone quantization (DLCQ) to supersymmetric field theories. We find that it is possible to formulate DLCQ so that supersymmetry is exactly preserved in the discrete approximation and call this formulation of DLCQ, SDLCQ. It combines the power of DLCQ with all of the beauty of supersymmetry. We have applied SDLCQ to several interesting supersymmetric theories and discussed zero modes, vacuum degeneracy, massless states, mass gaps, and theories in higher dimensions. Most recently we have used it to discuss the Maldacena conjecture.