Elliptic Genera of N=2 Hermitian Symmetric Space Models

TL;DR

This paper derives explicit formulas for the elliptic genera of Kazama-Suzuki models related to hermitian symmetric spaces, utilizing Coulomb gas descriptions, and assuming no field identification issues.

Contribution

It provides new explicit expressions for elliptic genera of these models, expanding understanding of their mathematical structure.

Findings

Explicit formulas for elliptic genera are obtained.

Coulomb gas descriptions are effectively used for derivation.

Results apply when field identification problems are absent.

Abstract

Expressions are given for the elliptic genera of the Kazama-Suzuki models associated with hermitian symmetric spaces when the problems of field identifications are absent. We use the models' known Coulomb gas descriptions.