Generating the superpotential on a D-brane category: I

C. I. Lazaroiu

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arXiv · hep-th/0610120

Generating the superpotential on a D-brane category: I

C. I. Lazaroiu

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Abstract

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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C. I. Lazaroiu. 2006-10-10. Generating the superpotential on a D-brane category: I. https://arxiv.org/abs/hep-th/0610120

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