K3 Fibrations and heterotic type II string duality
Jun, 199516 pages
Published in:
- Phys.Lett.B 357 (1995) 313-322
e-Print:
- hep-th/9506112 [hep-th]
Report number:
- CERN-TH-95-165
Citations per year
Abstract: (DESY)
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 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.Note:
- 16p, harvmac with hyperlinks Report-no: CERN-TH/95-165
- string model: heterotic
- duality
- supersymmetry
- coupling: Yukawa
- Yukawa: coupling
- space: Calabi-Yau
- moduli space
- approximation: weak coupling
- weak coupling: approximation
- field equations: instanton
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