The BRST Symmetry of Affine Lie Superalgebras and Non-Critical Strings

TL;DR

This paper constructs topological field theories based on affine Lie superalgebras, characterizes their BRST symmetry with a Kazama algebra, and explores their connection to non-critical string theories.

Contribution

It introduces a new class of topological field theories with a specific BRST symmetry structure related to affine Lie superalgebras and links them to non-critical string models.

Findings

BRST symmetry described by a Kazama algebra with spin 1, 2, and 3 operators

Operators form BRST doublets under the symmetry

Established connections between these models and non-critical string theories

Abstract

The topological field theories associated with affine Lie superalgebras are constructed. Their BRST symmetry is characterised by a Kazama algebra containing spin 1, 2 and 3 operators and closes linearly. Under this symmetry all operators are grouped into BRST doublets. The relation between the models constructed and non-critical string theories is explored.