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D-branes on Stringy Calabi-Yau Manifolds

Duiliu-Emanuel Diaconescu·Michael R. Douglas
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Abstract

We argue that D-branes corresponding to rational B boundary states in a Gepner model can be understood as fractional branes in the Landau-Ginzburg orbifold phase of the linear sigma model description. Combining this idea with the generalized McKay correspondence allows us to identify these states with coherent sheaves, and to calculate their K-theory classes in the large volume limit, without needing to invoke mirror symmetry. We check this identification against the mirror symmetry results for the example of the Calabi-Yau hypersurface in $\WP^{1,1,2,2,2}$.

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Duiliu-Emanuel Diaconescu, Michael R. Douglas. 2000-06-28. D-branes on Stringy Calabi-Yau Manifolds. https://arxiv.org/abs/hep-th/0006224

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