Gauged (2,2) Sigma Models and Generalized Kahler Geometry

Abstract

We gauge the (2,2) supersymmetric non-linear sigma model whose target space has bihermitian structure (g, B, J_{\pm}) with noncommuting complex structures. The bihermitian geometry is realized by a sigma model which is written in terms of (2,2) semi-chiral superfields. We discuss the moment map, from the perspective of the gauged sigma model action and from the integrability condition for a Hamiltonian vector field. We show that for a concrete example, the SU(2) x U(1) WZNW model, as well as for the sigma models with almost product structure, the moment map can be used together with the corresponding Killing vector to form an element of T+T* which lies in the eigenbundle of the generalized almost complex structure. Lastly, we discuss T-duality at the level of a (2,2) sigma model involving semi-chiral superfields and present an explicit example.

33 pages

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Cited by in corpus (5)

• On the N-wave Equations with PT-symmetry
• Gauging the Poisson sigma model
• Semichiral Fields on S^2 and Generalized Kähler Geometry
• Off-shell N=(4,4) supersymmetry for new (2,2) vector multiplets
• T-Duality in $(2,1)$ Superspace