Abstract
It is shown how the CP violation in our four-dimensional world is intimately related with the complex structure of the compactified space in general higher dimensional theories. We also point out that havingfermions with definite higher dimensional chirality, as in the D=10 type I superstring theory, is another essential ingredient for realizing CP violation. In a “non-chiral” case, as in type IIa theory, CP will not be broken explicitly even for the Calabi-Yau manifold determined by complex parameter (s). In a typical model of type I, a phenomenological requirement turns out to prevent the theory from acquiring complex Yukawa couplings.
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