CP violation and target-space modular invariance

Details CP violation and target-space modular invariance CP violation and target-space modular invariance

2000-11-30

arxiv.org/abs/hep-th/0011294v1

Physics

High Energy Physics

High Energy Physics - Theory

14 pages, uses amssymb

Scientific paper

We show that, in perturbative string models where the source of CP violation is a complex vacuum expectation value (v.e.v.) for one or more compactification moduli, CP is conserved if a CP transformation acting on the modulus values is an element of a target-space (self-)duality group. Where the duality group is SL(2,Z) the result confirms a conjecture of Bailin et al. that CP is conserved for v.e.v.'s of the T modulus on the boundary of the fundamental domain, and generalises Giedt's result on the removability of complex Yukawa couplings in such models. Our result applies to any model of spontaneous CP violation where the CP-odd scalar transforms under a symmetry that is not explicitly broken. We consider whether similar results could be obtained in ``brane worlds''.

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