Generating the superpotential on a D-brane category: I
High Energy Physics - Theory
2007-05-23 v1
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.
Keywords
Cite
@article{arxiv.hep-th/0610120,
title = {Generating the superpotential on a D-brane category: I},
author = {C. I. Lazaroiu},
journal= {arXiv preprint arXiv:hep-th/0610120},
year = {2007}
}
Comments
84 pages, 2 figures