Topological strings in generalized complex space

Details Topological strings in generalized complex space Topological strings in generalized complex space

2006-03-20

arxiv.org/abs/hep-th/0603145v2

Adv.Theor.Math.Phys.11:399-450,2007

Physics

High Energy Physics

High Energy Physics - Theory

42 pages; v2. references added, misprints corrected

Scientific paper

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 $\rho$ 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 $\beta$ and recover holomorphic noncommutative Kontsevich $*$-product.

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