Topological supergravity structure of non-critical superstring theories

TL;DR

This paper develops a bosonization method to represent non-critical superstring theories using topological supergravity, revealing enhanced superconformal symmetry and deepening understanding of their topological structure.

Contribution

It introduces a bosonization prescription for non-critical superstring theories with minimal matter, connecting them to topological supergravity and analyzing the associated topological symmetry.

Findings

Topological supergravity representation of non-critical superstrings.

Enhanced superconformal symmetry due to topological structure.

Compatibility of topological symmetry with supersymmetry.

Abstract

We obtain a bosonization prescription that allows to represent the energy-momentum tensor and supersymmetry generators of non-critical superstring theories with minimal matter as those of topological supergravity. Superstrings with $N=1$ and $N=2$ world-sheet supersymmetry are considered. The topological symmetry associated with the topological supergravity representation is studied. It is shown, in particular, that the compatibility of this topological structure with the supersymmetry enhances the superconformal symmetry of the models concerned.