Physics – High Energy Physics – High Energy Physics - Theory
Scientific paper
1995-06-18
Phys.Lett. B357 (1995) 313-322
Physics
High Energy Physics
High Energy Physics - Theory
16p, harvmac with hyperlinks
Scientific paper
10.1016/0370-2693(95)00937-G
We analyze the map between heterotic and type II N=2 supersymmetric string theories for certain two and three moduli examples found by Kachru and Vafa. The appearance of elliptic j-functions can be traced back to specializations of the Picard-Fuchs equations to systems for $K_3$ surfaces. For the three-moduli example we write the mirror maps and Yukawa couplings in the weak coupling limit in terms of j-functions; the expressions agree with those obtained in perturbative calculations in the heterotic string in an impressive way. We also discuss symmetries of the world-sheet instanton numbers in the type II theory, and interpret them in terms of S--duality of the non-perturbative heterotic string.
Klemm Albrecht
Lerche Wolfgang
Mayr Peter
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