Worldsheet theory of light-cone gauge noncritical strings on higher genus Riemann surfaces

TL;DR

This paper investigates the longitudinal sector of light-cone gauge string theory on higher genus Riemann surfaces, aiming to facilitate dimensional regularization in noncritical string field theories.

Contribution

It provides a detailed analysis of the longitudinal worldsheet theory on complex Riemann surfaces, extending the understanding of noncritical string formulations.

Findings

Formulation of longitudinal worldsheet theory on higher genus surfaces

Insights into dimensional regularization of noncritical strings

Extension of light-cone gauge string field theory framework

Abstract

It is possible to formulate light-cone gauge string field theory in noncritical dimensions. Such a theory corresponds to conformal gauge worldsheet theory with nonstandard longitudinal part. We study the longitudinal part of the worldsheet theory on higher genus Riemann surfaces. The results in this paper shall be used to study the dimensional regularization of light-cone gauge string field theory.