Enhanced D-Brane Categories from String Field Theory

Details Enhanced D-Brane Categories from String Field Theory Enhanced D-Brane Categories from String Field Theory

2001-04-23

arxiv.org/abs/hep-th/0104200v3

JHEP 0106:016,2001

Physics

High Energy Physics

High Energy Physics - Theory

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

Scientific paper

10.1088/1126-6708/2001/06/016

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.

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