Type IIA orientifolds and orbifolds on non-factorizable tori

Abstract

We investigate Type II orientifolds on non-factorizable torus with and without its oribifolding. We explicitly calculate the Ramond-Ramond tadpole from string one-loop amplitudes, and confirm that the consistent number of orientifold planes is directly derived from the Lefschetz fixed point theorem. We furthermore classify orientifolds on non-factorizable ZN x ZM orbifolds, and construct new supersymmetric Type IIA orientifold models on them.

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