On the geometry of coset models with flux

We study the 3-form flux Hμνλ associated with the semi-classical geometry of G/H gauged Wess-Zumino-Witten 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 α'. For supersymmetric models, we briefly revisit the conditions for enhanced supersymmetry. We also discuss some examples of non-abelian cosets with flux. (orig.)