The Supersymmetric CP problem in Orbifold Compactifications

Physics – High Energy Physics – High Energy Physics - Theory

Scientific paper

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LaTeX file 20 pages,16 ps figures (one figure added), two references added and typos corrected. Submitted to NPB

Scientific paper

10.1016/S0550-3213(98)00006-6

The possibility of spontaneous breaking of CP symmetry by the expectation values of orbifold moduli is investigated with particular reference to $CP$ violating phases in soft supersymmetry breaking terms. The effect of different mechanisms for stabilizing the dilaton and the form of the non-perturbative superpotential on the existence and size of these phases is studied. Models with modular symmetries which are subgroups of $PSL(2,Z)$, as well as the single overall modulus $T$ case with the full $PSL(2,Z)$ modular symmetry, are discussed. Non-perturbative superpotentials involving the absolute modular invariant $j(T)$, such as may arise from F-theory compactifications, are considered.

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