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

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.

arXiv comment24 pages. v2: typos fixed, other minor corrections

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Cited by in corpus (7)

• Fusion of conformal interfaces
• Gauging the Poisson sigma model
• Semichiral Fields on S^2 and Generalized Kähler Geometry
• Twisting gauged non-linear sigma-models
• The Semi-Chiral Quotient, Hyperkahler Manifolds and T-duality
• Topological A-Type Models with Flux
• T-Duality in $(2,1)$ Superspace