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Geometry of D-branes for general N=(2,2) sigma models

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arxiv hep-th/0405240 v2 pith:LL5OS4PX submitted 2004-05-26 hep-th math.DG

Geometry of D-branes for general N=(2,2) sigma models

classification hep-th math.DG
keywords generalizedcomplexd-branesgeneralgeometrysigmatwistedb-types
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We give a world-sheet description of D-brane in terms of gluing conditions on T+T^*. Using the notion of generalized Kahler geometry we show that A- and B-types D-branes for the general N=(2,2) supersymmetric sigma model (including a non-trivial NS-flux) correspond to the (twisted) generalized complex submanifolds with respect to the different (twisted) generalized complex structures however.

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  1. A-type Sigma Models from Differential Poisson Geometry

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    Symplectic reduction of the differential Poisson sigma model yields a restricted class of classical A-type models whose quartic curvature coupling is induced by torsion of a flat connection, with the Kodaira–Thurston ...