Coset Models in Monopole Backgrounds

TL;DR

This paper investigates fermionic coset models in monopole backgrounds, demonstrating that the Virasoro central charge remains unaffected by topological sectors despite zero mode-induced selection rules.

Contribution

It reveals that the Virasoro central charge in fermionic coset models is independent of the topological sector, even with zero mode effects.

Findings

Virasoro central charge is topologically invariant.

Zero modes impose selection rules on correlators.

Topological sectors do not alter the central charge.

Abstract

We study a fermionic coset model $G/H$ when the subgroup $H$ is not simply connected. We show that even when the fermionic zero modes impose selection rules which alters the values of the correlators, the Virasoro central charge of the theory results independent of the topological sector.