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D-branes and K-theory in 2D topological field theory

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arxiv hep-th/0609042 v1 pith:JW4W6TLE submitted 2006-09-05 hep-th

Gregory W. Moore , Graeme Segal This is my paper · ORCID
classification hep-th
keywords casesewingtheoryclosedconditionsd-branesfieldtopological
verification ladder T0 review T1 audit T2 compute T3 formal
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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.

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Cited by 8 Pith papers

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