Periods and Duality Symmetries in Calabi-Yau Compactifications

Details Periods and Duality Symmetries in Calabi-Yau Compactifications Periods and Duality Symmetries in Calabi-Yau Compactifications

1992-03-31

arxiv.org/abs/hep-th/9203084v1

Nucl.Phys. B391 (1993) 358-388

Physics

High Energy Physics

High Energy Physics - Theory

(37 pages, one figure not included)

Scientific paper

10.1016/0550-3213(93)90152-F

We derive the period structure of several one-modulus Calabi-Yau manifolds. With this knowledge we then obtain the generators of the duality group and the mirror map that defines the physical variable $t$ representing the radius of compactification. We also describe the fundamental region of $t$ and discuss its relation with automorphic functions. As a byproduct of our analysis we compute the non-perturbative corrections of Yukawa couplings.

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