Standard-model bundles

We describe a family of genus one fibered Calabi-Yau threefolds with fundamental group ${\mathbb Z}/2$. On each Calabi-Yau $Z$ in the family we exhibit a positive dimensional family of Mumford stable bundles whose symmetry group is the Standard Model group $SU(3)\times SU(2)\times U(1)$ and which ha...

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Detalles Bibliográficos
Autores principales: Donagi, Ron, Ovrut, Burt A., Pantev, Tony, Waldram, Dan
Lenguaje:eng
Publicado: 2000
Materias:
Mathematical Physics and Mathematics
Acceso en línea:https://dx.doi.org/10.4310/ATMP.2001.v5.n3.a5
http://cds.cern.ch/record/449816
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author Donagi, Ron
Ovrut, Burt A.
Pantev, Tony
Waldram, Dan
author_facet Donagi, Ron
Ovrut, Burt A.
Pantev, Tony
Waldram, Dan
author_sort Donagi, Ron
collection CERN
description We describe a family of genus one fibered Calabi-Yau threefolds with fundamental group ${\mathbb Z}/2$. On each Calabi-Yau $Z$ in the family we exhibit a positive dimensional family of Mumford stable bundles whose symmetry group is the Standard Model group $SU(3)\times SU(2)\times U(1)$ and which have $c_{3} = 6$. We also show that for each bundle $V$ in our family, $c_{2}(Z) - c_{2}(V)$ is the class of an effective curve on $Z$. These conditions ensure that $Z$ and $V$ can be used for a phenomenologically relevant compactification of Heterotic M-theory.
id cern-449816
institution Organización Europea para la Investigación Nuclear
language eng
publishDate 2000
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spelling cern-4498162023-03-30T02:22:53Zdoi:10.4310/ATMP.2001.v5.n3.a5http://cds.cern.ch/record/449816engDonagi, RonOvrut, Burt A.Pantev, TonyWaldram, DanStandard-model bundlesMathematical Physics and MathematicsWe describe a family of genus one fibered Calabi-Yau threefolds with fundamental group ${\mathbb Z}/2$. On each Calabi-Yau $Z$ in the family we exhibit a positive dimensional family of Mumford stable bundles whose symmetry group is the Standard Model group $SU(3)\times SU(2)\times U(1)$ and which have $c_{3} = 6$. We also show that for each bundle $V$ in our family, $c_{2}(Z) - c_{2}(V)$ is the class of an effective curve on $Z$. These conditions ensure that $Z$ and $V$ can be used for a phenomenologically relevant compactification of Heterotic M-theory.We describe a family of genus one fibered Calabi-Yau threefolds with fundamental group ${\mathbb Z}/2$. On each Calabi-Yau $Z$ in the family we exhibit a positive dimensional family of Mumford stable bundles whose symmetry group is the Standard Model group $SU(3)\times SU(2)\times U(1)$ and which have $c_{3} = 6$. We also show that for each bundle $V$ in our family, $c_{2}(Z) - c_{2}(V)$ is the class of an effective curve on $Z$. These conditions ensure that $Z$ and $V$ can be used for a phenomenologically relevant compactification of Heterotic M-theory.math/0008010CERN-TH-2000-203-AUPR-894-TRU-00-5-Boai:cds.cern.ch:4498162000-08-01
spellingShingle Mathematical Physics and Mathematics
Donagi, Ron
Ovrut, Burt A.
Pantev, Tony
Waldram, Dan
Standard-model bundles
title Standard-model bundles
title_full Standard-model bundles
title_fullStr Standard-model bundles
title_full_unstemmed Standard-model bundles
title_short Standard-model bundles
title_sort standard-model bundles
topic Mathematical Physics and Mathematics
url https://dx.doi.org/10.4310/ATMP.2001.v5.n3.a5
http://cds.cern.ch/record/449816
work_keys_str_mv AT donagiron standardmodelbundles
AT ovrutburta standardmodelbundles
AT pantevtony standardmodelbundles
AT waldramdan standardmodelbundles

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