The general ( 2 , 2 ) gauged sigma model with three – form flux
نویسنده
چکیده
We find the conditions under which a Riemannian manifold equipped with a closed threeform 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 Kähler 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 Kähler 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 Kähler quotient construction based on Kähler gauged sigma models.
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