Graded lagrangians, exotic topological D-branes and enhanced triangulated categories
نویسندگان
چکیده
منابع مشابه
Graded Lagrangians, exotic topological D-branes and enhanced triangulated categories
I point out that (BPS saturated) A-type D-branes in superstring compactification on Calabi-Yau threefolds correspond to graded special Lagrangian submanifolds, a particular case of the graded Lagrangian submanifolds considered by M. Kontsevich and P. Seidel. Combining this with the categorical formulation of cubic string field theory in the presence of D-branes, I consider a collection of topol...
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I describe extended gradings of open topological field theories in two dimensions in terms of skew categories, proving a result which alows one to translate between the formalism of graded open 2d TFTs and equivariant cyclic categories. As an application of this formalism, I describe the open 2d TFT of graded D-branes in Landau-Ginzburg models in terms of an equivariant cyclic structure on the ...
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We show that boundary conditions in topological open string theory on Calabi-Yau manifolds are objects in the derived category of coherent sheaves, as foreseen in the homological mirror symmetry proposal of Kontsevich. Together with conformal field theory considerations, this leads to a precise criterion determining the BPS branes at any point in CY moduli space, completing the proposal of Π-st...
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ژورنال
عنوان ژورنال: Journal of High Energy Physics
سال: 2001
ISSN: 1029-8479
DOI: 10.1088/1126-6708/2001/06/064