Light-cone Gauge NSR Strings in Noncritical Dimensions

TL;DR

This paper develops a superconformal worldsheet theory for light-cone gauge NSR strings in noncritical dimensions, enabling a consistent BRST charge construction by combining longitudinal, transverse, and ghost variables.

Contribution

It introduces a novel superconformal formulation for the longitudinal sector of noncritical NSR strings, extending previous bosonic models to supersymmetric cases.

Findings

Constructed a superconformal worldsheet theory for longitudinal variables.

Demonstrated the possibility of a nilpotent BRST charge in this framework.

Unified the longitudinal, transverse, and ghost sectors into a consistent quantization scheme.

Abstract

Light-cone gauge NSR string theory in noncritical dimensions should correspond to a string theory with a nonstandard longitudinal part. Supersymmetrizing the bosonic case [arXiv:0909.4675], we formulate a superconformal worldsheet theory for the longitudinal variables X^{\pm}, \psi^{\pm}. We show that with the transverse variables and the ghosts combined, it is possible to construct a nilpotent BRST charge.