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Orientifolds of Gepner Models

Ilka Brunner·Kentaro Hori·Kazuo Hosomichi·Johannes Walcher
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Abstract

We systematically construct and study Type II Orientifolds based on Gepner models which have N=1 supersymmetry in 3+1 dimensions. We classify the parity symmetries and construct the crosscap states. We write down the conditions that a configuration of rational branes must satisfy for consistency (tadpole cancellation and rank constraints) and spacetime supersymmetry. For certain cases, including Type IIB orientifolds of the quintic and a two parameter model, one can find all solutions in this class. Depending on the parity, the number of vacua can be large, of the order of 10^{10}-10^{13}. For other models, it is hard to find all solutions but special solutions can be found -- some of them are chiral. We also make comparison with the large volume regime and obtain a perfect match. Through this study, we find a number of new features of Type II orientifolds, including the structure of moduli space and the change in the type of O-planes under navigation through non-geometric phases.

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Ilka Brunner, Kentaro Hori, Kazuo Hosomichi, Johannes Walcher. 2004-01-20. Orientifolds of Gepner Models. https://doi.org/10.1088/1126-6708%2F2007%2F02%2F001

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