We systematically investigate the possibilities of realizing the spontaneous CP violation in Type IIB flux compactifications on toroidal orientifolds. Our detailed analysis for a generic choice of three-form fluxes leads to the presence of flat directions, where CP-breaking and -conserving vacua are degenerate, 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.
|Journal||Physical Review D|
|Publication status||Published - Jul 15 2020|
All Science Journal Classification (ASJC) codes
- Physics and Astronomy (miscellaneous)