Permutation Orientifolds

Details Permutation Orientifolds Permutation Orientifolds

2006-12-12

arxiv.org/abs/hep-th/0612108v2

JHEP 0705:078,2007

Physics

High Energy Physics

High Energy Physics - Theory

32 pages, 1 Figure, v2: references added, minor correction, version published in JHEP

Scientific paper

10.1088/1126-6708/2007/05/078

We consider orientifold actions involving the permutation of two identical factor theories. The corresponding crosscap states are constructed in rational conformal field theory. We study group manifolds, in particular the examples $SU(2) \times SU(2)$ and $U(1)\times U(1)$ in detail, comparing conformal field theory results with geometry. We then consider orientifolds of tensor products of N=2 minimal models, which have a description as coset theories in rational conformal field theory and as Landau Ginzburg models. In the Landau Ginzburg language, B-orientifolds and D-branes are described in terms of matrix factorizations of the superpotential. We match the factorizations with the corresponding crosscap states.

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