On the Geometry of Coset Models with Flux

TL;DR

This paper analyzes the 3-form flux in gauged WZW models on coset spaces, deriving a general expression, verifying conformal invariance, and exploring supersymmetry conditions and non-abelian examples.

Contribution

It provides a simple formula for flux in these models and verifies conformal invariance at leading order, offering insights into supersymmetry and non-abelian cosets.

Findings

Derived a general flux expression in an orthonormal frame

Verified conformal invariance at leading order in α'

Discussed supersymmetry enhancement and non-abelian coset examples

Abstract

We study the 3-form flux $H_{\m\n\l}$ associated with the semi-classical geometry of $G/H$ gauged WZW models. We derive a simple, general expression for the flux in an orthonormal frame and use it to explicitly verify conformal invariance to the leading order in $\a'$. For supersymmetric models, we briefly revisit the conditions for enhanced supersymmetry. We also discuss some examples of non-abelian cosets with flux.