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

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

2006-10-18

arxiv.org/abs/hep-th/0610210v2

JHEP0711:053,2007

Physics

High Energy Physics

High Energy Physics - Theory

24 pages. v2: typos fixed, other minor corrections

Scientific paper

10.1088/1126-6708/2007/11/053

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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