On the unitarity of gauged non-compact world-sheet supersymmetric WZNW models

TL;DR

This paper proves the unitarity of certain supersymmetric WZNW models with applications to new critical string theories in 7 and 9 dimensions, using a BRST approach for specific representations.

Contribution

It extends unitarity analysis to N=1 supersymmetric non-compact WZNW models, identifying conditions for unitarity and discovering new string theories.

Findings

Models have unitary spectrum under specified conditions.

New critical string theories in 7 and 9 dimensions identified.

Unitarity proven for antidominant highest weight representations.

Abstract

In this paper we generalize our investigation of the unitarity of non-compact WZNW models connected to Hermitian symmetric spaces to the N=1 world-sheet supersymmetric extension of these models. We will prove that these models have a unitary spectrum in a BRST approach for antidominant highest weight representations if the level and weights of the gauged subalgebra are integers. We will find new critical string theories in 7 and 9 space-time dimensions.