Mirror symmetry for the Kazama-Suzuki models

TL;DR

This paper explores mirror symmetry in N=2 coset models, demonstrating a duality between orbifolds of vectorially and axially gauged models based on their level and Coxeter number.

Contribution

It establishes a novel duality relationship showing that certain orbifolds of these models are mirror partners, expanding understanding of mirror symmetry in supersymmetric coset models.

Findings

Mirror pairs are identified via orbifold duality.

The duality relates orbifolds with levels satisfying m * m̃ = k + Q.

The work connects gauge symmetry, orbifolds, and mirror symmetry in N=2 models.

Abstract

We study the $N = 2$ coset models in their formulation as supersymmetric gauged Wess-Zumino-Witten models. A model based on the coset $G/H$ is invariant under a symmetry group isomorphic to $\Z_{k+Q}$, where $k$ is the level of the model and $Q$ is the dual Coxeter number of $G$. Using a duality-like relationship, we show that the $\Z_m$ orbifold of the vectorially gauged model and the $\Z_{\tilde{m}}$ orbifold of the axially gauged model are each others mirror partners when $m \tilde{m} = k + Q$.