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arXiv · hep-th/0610210

The general (2,2) gauged sigma model with three--form flux

Anton Kapustin·Alessandro Tomasiello
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Abstract

We find the conditions under which a Riemannian manifold equipped with a closed three-form and a vector field define an on--shell N=(2,2) supersymmetric gauged sigma model. The conditions are that the manifold admits a twisted generalized Kaehler structure, that the vector field preserves this structure, and that a so--called generalized moment map exists for it. By a theorem in generalized complex geometry, these conditions imply that the quotient is again a twisted generalized Kaehler manifold; this is in perfect agreement with expectations from the renormalization group flow. This method can produce new N=(2,2) models with NS flux, extending the usual Kaehler quotient construction based on Kaehler gauged sigma models.

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Anton Kapustin, Alessandro Tomasiello. 2006-10-25. The general (2,2) gauged sigma model with three--form flux. https://doi.org/10.1088/1126-6708%2F2007%2F11%2F053

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