On Deformations of Generalized Complex Structures: the Generalized Calabi-Yau Case

Details On Deformations of Generalized Complex Structures: the Generalized Calabi-Yau Case On Deformations of Generalized Complex Structures: the Generalized Calabi-Yau Case

2005-08-04

arxiv.org/abs/hep-th/0508030v2

Physics

High Energy Physics

High Energy Physics - Theory

28 pages; typos corrected; Lemma 2 slightly generalized and one appendix added

Scientific paper

We prove an analog of the Tian-Todorov theorem for twisted generalized
Calabi-Yau manifolds; namely, we show that the moduli space of generalized
complex structures on a compact twisted generalized Calabi-Yau manifold is
unobstructed and smooth. We also construct the extended moduli space and study
its Frobenius structure. The physical implications are also discussed.

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