Type IIA orientifolds and orbifolds on non-factorizable tori

TL;DR

This paper explores Type IIA orientifolds on non-factorizable tori, calculating tadpoles, confirming their relation to fixed points, classifying orbifolds, and constructing new supersymmetric models.

Contribution

It provides explicit calculations of tadpoles, confirms their topological origin, and introduces new supersymmetric orientifold models on non-factorizable orbifolds.

Findings

Tadpole cancellation conditions derived from string amplitudes.

Confirmation of Lefschetz fixed point theorem in orientifold context.

Construction of new supersymmetric models on non-factorizable orbifolds.

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 Z_N x Z_M orbifolds, and construct new supersymmetric Type IIA orientifold models on them.