Light-Cone Gauge String Field Theory in Noncritical Dimensions

TL;DR

This paper develops a BRST invariant formulation of light-cone gauge string field theory in noncritical dimensions, analyzing the worldsheet theory for longitudinal coordinates as a conformal field theory with correct central charge.

Contribution

It introduces a consistent worldsheet CFT for longitudinal variables in noncritical dimensions and proposes a BRST invariant framework for such string theories.

Findings

Identified the worldsheet theory for longitudinal coordinates as a CFT with correct central charge.

Proposed a BRST invariant formulation for the noncritical string field theory.

Analyzed properties of the Lorentz noninvariant background in this context.

Abstract

We study light-cone gauge string field theory in noncritical space-time dimensions. Such a theory corresponds to a string theory in a Lorentz noninvariant background. We identify the worldsheet theory for the longitudinal coordinate variables $X^\pm$ and study its properties. It is a CFT with the right value of Virasoro central charge, using which we propose a BRST invariant formulation of the worldsheet theory.