D-branes and K-theory in 2D topological field theory
Abstract
This expository paper describes sewing conditions in two-dimensional open/closed topological field theory. We include a description of the G-equivariant case, where G is a finite group. We determine the category of boundary conditions in the case that the closed string algebra is semisimple. In this case we find that sewing constraints -- the most primitive form of worldsheet locality -- already imply that D-branes are (G-twisted) vector bundles on spacetime. We comment on extensions to cochain-valued theories and various applications. Finally, we give uniform proofs of all relevant sewing theorems using Morse theory.
Keywords
Cite
@article{arxiv.hep-th/0609042,
title = {D-branes and K-theory in 2D topological field theory},
author = {Gregory W. Moore and Graeme Segal},
journal= {arXiv preprint arXiv:hep-th/0609042},
year = {2007}
}
Comments
88pp. harvmac b-mode. arXiv version has separate figures as gif files. For a dvi file with the figures, or eps figures go to http://www.physics.rutgers.edu/~gmoore/