English

Enhanced D-Brane Categories from String Field Theory

High Energy Physics - Theory 2010-02-03 v3

Abstract

We construct D-brane categories in B-type topological string theory as solutions to string field equations of motion. Using the formalism of superconnections, we show that these solutions form a variant of a construction of Bondal and Kapranov. This analysis is an elaboration on recent work of Lazaroiu. We also comment on the relation between string field theory and the derived category approach of Douglas, and Aspinwall and Lawrence. Non-holomorphic deformations make a somewhat unexpected appearance in this construction.

Keywords

Cite

@article{arxiv.hep-th/0104200,
  title  = {Enhanced D-Brane Categories from String Field Theory},
  author = {Duiliu-Emanuel Diaconescu},
  journal= {arXiv preprint arXiv:hep-th/0104200},
  year   = {2010}
}

Comments

19 pages, we correct some signs which affect the relation with Bondal-Kapranov categories