Level-Rank Duality of WZW Theories and Isomorphisms of N=2 Coset Models

TL;DR

This paper constructs mappings between N=2 superconformal coset models using level-rank dualities, suggesting these models are isomorphic as conformal field theories and providing insights into their structure.

Contribution

It introduces a method to relate N=2 coset models via level-rank dualities, enhancing understanding of their isomorphisms and fixed point resolutions.

Findings

Level-rank dualities induce isomorphisms of N=2 coset models.

The construction preserves conformal field theory properties.

Provides insights into fixed point resolution in coset theories.

Abstract

Mappings between certain infinite series of N=2 superconformal coset models are constructed. They make use of level-rank dualities for B, C and D type theories. While the WZW level-rank dualities do not constitute isomorphisms of the theories, they lead to level-rank dualities of N=2 coset models that preserve the cft properties in such a manner that the coset models related by duality are expected to be isomorphic as conformal field theories. The construction also gives some further insight in the nature of the resolution of field identification fixed points of coset theories.