Challenge for spontaneous CP violation in Type IIB orientifolds with fluxes

Abstract

We systematically investigate possibilities of realizing the spontaneous CP violation in Type IIB flux compactifications on toroidal orientifolds. Our detailed analysis leads to the presence of flat directions at degenerate CP-breaking and -conserving vacua for a generic choice of three-form fluxes, indicating that flux compactifications are not sufficient to realize the spontaneous CP violation. Furthermore, the four-dimensional CP can be embedded into the duality symmetries, namely modular symmetries for a particular choice of fluxes.

21 pages

References in corpus (3)

• Four-dimensional String Compactifications with D-Branes, Orientifolds and Fluxes
• Measurement of the permanent electric dipole moment of the neutron
• Unification of Flavor, CP, and Modular Symmetries

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