T-duality and Generalized Complex Geometry

Abstract

We find the explicit T-duality transformation in the phase space formulation of the N=(1,1) sigma model. We also show that the T-duality transformation is a symplectomorphism and it is an element of O(d,d). Further, we find the explicit T-duality transformation of a generalized complex structure in this model. We also show that the extended supersymmetry of the sigma model is preserved under the T-duality.

18 pages; added references; published version

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Cited by in corpus (4)

• New aspects of the ddc-lemma
• Hyperkähler, Bi-hypercomplex, Generalized Hyperkähler Structures and T-duality
• An Alternative Topological Field Theory of Generalized Complex Geometry
• Strings as sigma models and in the tensionless limit