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

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

2006-10-10

arxiv.org/abs/hep-th/0610116v2

JHEP0712:039,2007

Physics

High Energy Physics

High Energy Physics - Theory

33 pages

Scientific paper

10.1088/1126-6708/2007/12/039

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.

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