Topological strings in generalized complex space

dc.creatorPestun, Vasily
dc.date2006-03-20
dc.date2006-06-04
dc.date.accessioned2026-07-07T11:06:28Z
dc.date.available2026-07-07T11:06:28Z
dc.descriptionA 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.
dc.description42 pages; v2. references added, misprints corrected
dc.identifierhttps://arxiv.org/abs/hep-th/0603145
dc.identifierhttp://arxiv.org/abs/hep-th/0603145
dc.identifierAdv.Theor.Math.Phys.11:399-450,2007
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/189528
dc.subjectHigh Energy Physics - Theory
dc.titleTopological strings in generalized complex space
dc.typetext

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