Topological strings in generalized complex space

Vasily Pestun

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arXiv · hep-th/0603145

Topological strings in generalized complex space

Vasily Pestun

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Abstract

A two-dimensional topological sigma-model on a generalized Calabi-Yau target space $X$ is defined. The model is constructed in Batalin-Vilkovisky formalism using only a generalized complex structure $J$ and a pure spinor $ρ$ on $X$. In the present construction the algebra of $Q$-transformations automatically closes off-shell, the model transparently depends only on $J$, the algebra of observables and correlation functions for topologically trivial maps in genus zero are easily defined. The extended moduli space appears naturally. The familiar action of the twisted N=2 CFT can be recovered after a gauge fixing. In the open case, we consider an example of generalized deformation of complex structure by a holomorphic Poisson bivector $β$ and recover holomorphic noncommutative Kontsevich $*$-product.

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Vasily Pestun. 2006-06-04. Topological strings in generalized complex space. https://arxiv.org/abs/hep-th/0603145

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