Crosscaps in Gepner Models and Type IIA Orientifolds

Details Crosscaps in Gepner Models and Type IIA Orientifolds Crosscaps in Gepner Models and Type IIA Orientifolds

2003-06-26

arxiv.org/abs/hep-th/0306257v3

JHEP 02 (2004) 026

Physics

High Energy Physics

High Energy Physics - Theory

54 pages, 5 tables, Latex file. v2 : Minor changes in the introduction; added 3 references. v3 : 2 References corrected; publi

Scientific paper

10.1088/1126-6708/2004/02/026

As a first step to a detailed study of orientifolds of Gepner models associated with Calabi-Yau manifolds, we construct crosscap states associated with anti-holomorphic involutions (with fixed points) of Calabi-Yau manifolds. We argue that these orientifolds are dual to M-theory compactifications on (singular) seven-manifolds with $G_2$ holonomy. Using the spacetime picture as well as the M-theory dual, we discuss aspects of the orientifold that should be obtained in the Gepner model. This is illustrated for the case of the quintic.

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