Worldsheet approaches to D-branes on supersymmetric cycles

Details Worldsheet approaches to D-branes on supersymmetric cycles Worldsheet approaches to D-branes on supersymmetric cycles

1999-07-15

arxiv.org/abs/hep-th/9907131v3

Nucl.Phys. B580 (2000) 519-547

Physics

High Energy Physics

High Energy Physics - Theory

28 pages, LaTeX with revtex; (v2) Condition involving superpotential in the boundary LG model imposed, references included ; (

Scientific paper

10.1016/S0550-3213(00)00140-1

We consider D-branes wrapped around supersymmetric cycles of Calabi-Yau manifolds from the viewpoint of N=2 Landau-Ginzburg models with boundary as well as by consideration of boundary states in the corresponding Gepner models. The Landau-Ginzburg approach enables us to provide a target space interpretation for the boundary states. The boundary states are obtained by applying Cardy's procedure to combinations of characters in the Gepner models which are invariant under spectral flow. We are able to relate the two descriptions using the common discrete symmetries of the two descriptions. We are thus able to provide an extension to the boundary of the bulk correspondence between Landau-Ginzburg orbifolds and the corresponding Gepner models.

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