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D-brane Categories for Orientifolds -- The Landau-Ginzburg Case
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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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Orientifolds of Gepner models without K\"ahler moduli
Exhaustive enumeration of Landau-Ginzburg orientifold models without Kähler moduli, with computed complex structure moduli numbers and tadpole charges to flag perturbative stabilization candidates.
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