On N=1 4d Effective Couplings for F-theory and Heterotic Vacua

We show that certain superpotential and Kahler potential couplings of N=1 supersymmetric compactifications with branes or bundles can be computed from Hodge theory and mirror symmetry. This applies to F-theory on a Calabi-Yau four-fold and three-fold compactifications of type II and heterotic string...

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Detalles Bibliográficos
Autores principales: Jockers, Hans, Mayr, Peter, Walcher, Johannes
Lenguaje:eng
Publicado: 2009
Materias:
Particle Physics - Theory
Acceso en línea:https://dx.doi.org/10.4310/ATMP.2010.v14.n5.a3
http://cds.cern.ch/record/1229458
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author Jockers, Hans
Mayr, Peter
Walcher, Johannes
author_facet Jockers, Hans
Mayr, Peter
Walcher, Johannes
author_sort Jockers, Hans
collection CERN
description We show that certain superpotential and Kahler potential couplings of N=1 supersymmetric compactifications with branes or bundles can be computed from Hodge theory and mirror symmetry. This applies to F-theory on a Calabi-Yau four-fold and three-fold compactifications of type II and heterotic strings with branes. The heterotic case includes a class of bundles on elliptic manifolds constructed by Friedmann, Morgan and Witten. Mirror symmetry of the four-fold computes non-perturbative corrections to mirror symmetry on the three-folds, including D-instanton corrections. We also propose a physical interpretation for the observation by Warner that relates the deformation spaces of certain matrix factorizations and the periods of non-compact 4-folds that are ALE fibrations.
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institution Organización Europea para la Investigación Nuclear
language eng
publishDate 2009
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spelling cern-12294582023-03-15T13:42:49Zdoi:10.4310/ATMP.2010.v14.n5.a3http://cds.cern.ch/record/1229458engJockers, HansMayr, PeterWalcher, JohannesOn N=1 4d Effective Couplings for F-theory and Heterotic VacuaParticle Physics - TheoryWe show that certain superpotential and Kahler potential couplings of N=1 supersymmetric compactifications with branes or bundles can be computed from Hodge theory and mirror symmetry. This applies to F-theory on a Calabi-Yau four-fold and three-fold compactifications of type II and heterotic strings with branes. The heterotic case includes a class of bundles on elliptic manifolds constructed by Friedmann, Morgan and Witten. Mirror symmetry of the four-fold computes non-perturbative corrections to mirror symmetry on the three-folds, including D-instanton corrections. We also propose a physical interpretation for the observation by Warner that relates the deformation spaces of certain matrix factorizations and the periods of non-compact 4-folds that are ALE fibrations.We show that certain superpotential and Kähler potential couplingsof $\mathcal{N} = 1$ supersymmetric compactifications with branes or bundles canbe computed from Hodge theory and mirror symmetry. This applies toF-theory on a Calabi–Yau four-fold and three-fold compactifications oftype II and heterotic strings with branes. The heterotic case includes aclass of bundles on elliptic manifolds constructed by Friedmann, Morganand Witten. Mirror symmetry of the four-fold computes non-perturbativecorrections to mirror symmetry on the three-folds, including D-instantoncorrections. We also propose a physical interpretation for the observationbyWarner that relates the deformation spaces of certain matrix factorizationsand the periods of non-compact four-folds that are ALE fibrations.We show that certain superpotential and Kahler potential couplings of N=1 supersymmetric compactifications with branes or bundles can be computed from Hodge theory and mirror symmetry. This applies to F-theory on a Calabi-Yau four-fold and three-fold compactifications of type II and heterotic strings with branes. The heterotic case includes a class of bundles on elliptic manifolds constructed by Friedmann, Morgan and Witten. Mirror symmetry of the four-fold computes non-perturbative corrections to mirror symmetry on the three-folds, including D-instanton corrections. We also propose a physical interpretation for the observation by Warner that relates the deformation spaces of certain matrix factorizations and the periods of non-compact 4-folds that are ALE fibrations.arXiv:0912.3265CERN-PH-TH-2009-250LMU-ASC 59-09SU-ITP-09-52oai:cds.cern.ch:12294582009-12-18
spellingShingle Particle Physics - Theory
Jockers, Hans
Mayr, Peter
Walcher, Johannes
On N=1 4d Effective Couplings for F-theory and Heterotic Vacua
title On N=1 4d Effective Couplings for F-theory and Heterotic Vacua
title_full On N=1 4d Effective Couplings for F-theory and Heterotic Vacua
title_fullStr On N=1 4d Effective Couplings for F-theory and Heterotic Vacua
title_full_unstemmed On N=1 4d Effective Couplings for F-theory and Heterotic Vacua
title_short On N=1 4d Effective Couplings for F-theory and Heterotic Vacua
title_sort on n=1 4d effective couplings for f-theory and heterotic vacua
topic Particle Physics - Theory
url https://dx.doi.org/10.4310/ATMP.2010.v14.n5.a3
http://cds.cern.ch/record/1229458
work_keys_str_mv AT jockershans onn14deffectivecouplingsforftheoryandheteroticvacua
AT mayrpeter onn14deffectivecouplingsforftheoryandheteroticvacua
AT walcherjohannes onn14deffectivecouplingsforftheoryandheteroticvacua

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