Generating the superpotential on a D-brane category: I

Details Generating the superpotential on a D-brane category: I Generating the superpotential on a D-brane category: I

2006-10-10

arxiv.org/abs/hep-th/0610120v1

Physics

High Energy Physics

High Energy Physics - Theory

84 pages, 2 figures

Scientific paper

I study A-infinity enhancements of algebraic Calabi-Yau triangulated categories admitting a (triangle) generator, showing that the Serre pairing on such categories determines and is determined by a cyclic pairing on an enhancement of the generator. Using this result, I construct a formal topological string field action inducing an extended D-brane superpotential for such categories. I also give a procedure for lifting certain 2d boundary topological field theories to open topological string theories generated by a single D-brane.

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