K3-fibrations and heterotic-type II string duality

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 thre...

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Detalles Bibliográficos
Autores principales: Klemm, A., Lerche, W., Mayr, P.
Lenguaje:eng
Publicado: 1995
Materias:
Particle Physics - Theory
Acceso en línea:https://dx.doi.org/10.1016/0370-2693(95)00937-G
http://cds.cern.ch/record/283437
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author Klemm, A.
Lerche, W.
Mayr, P.
author_facet Klemm, A.
Lerche, W.
Mayr, P.
author_sort Klemm, A.
collection CERN
description 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.
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spelling cern-2834372023-03-12T06:05:52Zdoi:10.1016/0370-2693(95)00937-Ghttp://cds.cern.ch/record/283437engKlemm, A.Lerche, W.Mayr, P.K3-fibrations and heterotic-type II string dualityParticle Physics - TheoryWe 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.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.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.hep-th/9506112CERN-TH-95-165CERN-TH-95-165oai:cds.cern.ch:2834371995-06-19
spellingShingle Particle Physics - Theory
Klemm, A.
Lerche, W.
Mayr, P.
K3-fibrations and heterotic-type II string duality
title K3-fibrations and heterotic-type II string duality
title_full K3-fibrations and heterotic-type II string duality
title_fullStr K3-fibrations and heterotic-type II string duality
title_full_unstemmed K3-fibrations and heterotic-type II string duality
title_short K3-fibrations and heterotic-type II string duality
title_sort k3-fibrations and heterotic-type ii string duality
topic Particle Physics - Theory
url https://dx.doi.org/10.1016/0370-2693(95)00937-G
http://cds.cern.ch/record/283437
work_keys_str_mv AT klemma k3fibrationsandheterotictypeiistringduality
AT lerchew k3fibrationsandheterotictypeiistringduality
AT mayrp k3fibrationsandheterotictypeiistringduality

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