D-brane Categories for Orientifolds -- The Landau-Ginzburg Case

Details D-brane Categories for Orientifolds -- The Landau-Ginzburg Case D-brane Categories for Orientifolds -- The Landau-Ginzburg Case

2006-06-20

arxiv.org/abs/hep-th/0606179v1

JHEP 0804:030,2008

Physics

High Energy Physics

High Energy Physics - Theory

45 pages, 6 figures

Scientific paper

10.1088/1126-6708/2008/04/030

We construct and classify categories of D-branes in orientifolds based on Landau-Ginzburg models and their orbifolds. Consistency of the worldsheet parity action on the matrix factorizations plays the key role. This provides all the requisite data for an orientifold construction after embedding in string theory. One of our main results is a computation of topological field theory correlators on unoriented worldsheets, generalizing the formulas of Vafa and Kapustin-Li for oriented worldsheets, as well as the extension of these results to orbifolds. We also find a doubling of Knoerrer periodicity in the orientifold context.

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