K3 Fibrations and heterotic type II string duality

Jun, 1995
16 pages
Published in:
  • Phys.Lett.B 357 (1995) 313-322
e-Print:
Report number:
  • CERN-TH-95-165

Citations per year

199520032011201920250102030405060
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 K3K_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.
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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