TOPOLOGICAL MATTER, MIRROR SYMMETRY AND NON-CRITICAL (SUPER)STRINGS

TL;DR

This paper explores the realization of topological and superconformal symmetries in two-dimensional field theories, revealing a mirror automorphism as a reflection in field space and a double BRST structure, with implications for non-critical superstring theories.

Contribution

It introduces a novel representation of mirror automorphism as a reflection in field space and uncovers a double BRST structure in topological matter theories, linking topological symmetry to matter content in non-critical superstrings.

Findings

Mirror automorphism acts as a reflection in field space.

A double BRST structure is identified in topological matter theories.

Topological symmetry implementation depends on matter content in non-critical superstrings.

Abstract

We study the realization of the (super) conformal topological symmetry in two-dimensional field theories. The mirror automorphism of the topological algebra is represented as a reflection in the space of fields. As a consequence, a double BRST structure for topological matter theories is found. It is shown that the implementation of the topological symmetry in non-critical (super)string theories depends on the matter content of the two realizations connected by the mirror transformation.