A-branes and Noncommutative Geometry

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dc.creatorKapustin, Anton
dc.date2005-02-23
dc.date.accessioned2026-07-07T04:18:05Z
dc.date.available2026-07-07T04:18:05Z
dc.descriptionWe argue that for a certain class of symplectic manifolds the category of A-branes (which includes the Fukaya category as a full subcategory) is equivalent to a noncommutative deformation of the category of B-branes (which is equivalent to the derived category of coherent sheaves) on the same manifold. This equivalence is different from Mirror Symmetry and arises from the Seiberg-Witten transform which relates gauge theories on commutative and noncommutative spaces. More generally, we argue that for certain generalized complex manifolds the category of generalized complex branes is equivalent to a noncommutative deformation of the derived category of coherent sheaves on the same manifold. We perform a simple test of our proposal in the case when the manifold in question is a symplectic torus.
dc.description15 pages, latex
dc.identifierhttps://arxiv.org/abs/hep-th/0502212
dc.identifierhttp://arxiv.org/abs/hep-th/0502212
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/53037
dc.subjectHigh Energy Physics - Theory
dc.titleA-branes and Noncommutative Geometry
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