F-GUTs with Mordell-Weil U(1)'s

In this note we study the constraints on F-theory GUTs with extra $U(1)$'s in the context of elliptic fibrations with rational sections. We consider the simplest case of one abelian factor (Mordell-Weil rank one) and investigate the conditions that are induced on the coefficients of its Tate fo...

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Detalles Bibliográficos
Autores principales: Antoniadis, I., Leontaris, G.K.
Lenguaje:eng
Publicado: 2014
Materias:
Particle Physics - Theory
Acceso en línea:https://dx.doi.org/10.1016/j.physletb.2014.06.044
http://cds.cern.ch/record/1697468
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author Antoniadis, I.
Leontaris, G.K.
author_facet Antoniadis, I.
Leontaris, G.K.
author_sort Antoniadis, I.
collection CERN
description In this note we study the constraints on F-theory GUTs with extra $U(1)$'s in the context of elliptic fibrations with rational sections. We consider the simplest case of one abelian factor (Mordell-Weil rank one) and investigate the conditions that are induced on the coefficients of its Tate form. Converting the equation representing the generic hypersurface $P_{112}$ to this Tate's form we find that the presence of a U(1), already in this local description, is consistent with the exceptional ${\cal E}_6$ and ${\cal E}_7$ non-abelian singularities. We briefly comment on a viable ${\cal E}_6\times U(1)$ effective F-theory model.
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spelling cern-16974682023-03-14T20:56:40Zdoi:10.1016/j.physletb.2014.06.044http://cds.cern.ch/record/1697468engAntoniadis, I.Leontaris, G.K.F-GUTs with Mordell-Weil U(1)'sParticle Physics - TheoryIn this note we study the constraints on F-theory GUTs with extra $U(1)$'s in the context of elliptic fibrations with rational sections. We consider the simplest case of one abelian factor (Mordell-Weil rank one) and investigate the conditions that are induced on the coefficients of its Tate form. Converting the equation representing the generic hypersurface $P_{112}$ to this Tate's form we find that the presence of a U(1), already in this local description, is consistent with the exceptional ${\cal E}_6$ and ${\cal E}_7$ non-abelian singularities. We briefly comment on a viable ${\cal E}_6\times U(1)$ effective F-theory model.In this note we study the constraints on F-theory GUTs with extra U(1) 's in the context of elliptic fibrations with rational sections. We consider the simplest case of one abelian factor (Mordell–Weil rank one) and investigate the conditions that are induced on the coefficients of its Tate form. Converting the equation representing the generic hypersurface P112 to this Tate's form we find that the presence of a U(1) , already in this local description, is consistent with the exceptional E6 and E7 non-abelian singularities. We briefly comment on a viable E6×U(1) effective F-theory model.In this note we study the constraints on F-theory GUTs with extra $U(1)$'s in the context of elliptic fibrations with rational sections. We consider the simplest case of one abelian factor (Mordell-Weil rank one) and investigate the conditions that are induced on the coefficients of its Tate form. Converting the equation representing the generic hypersurface $P_{112}$ to this Tate's form we find that the presence of a U(1), already in this local description, is consistent with the exceptional ${\cal E}_6$ and ${\cal E}_7$ non-abelian singularities. We briefly comment on a viable ${\cal E}_6\times U(1)$ effective F-theory model.arXiv:1404.6720CERN-PH-TH-2014-073CERN-PH-TH-2014-073oai:cds.cern.ch:16974682014-04-27
spellingShingle Particle Physics - Theory
Antoniadis, I.
Leontaris, G.K.
F-GUTs with Mordell-Weil U(1)'s
title F-GUTs with Mordell-Weil U(1)'s
title_full F-GUTs with Mordell-Weil U(1)'s
title_fullStr F-GUTs with Mordell-Weil U(1)'s
title_full_unstemmed F-GUTs with Mordell-Weil U(1)'s
title_short F-GUTs with Mordell-Weil U(1)'s
title_sort f-guts with mordell-weil u(1)'s
topic Particle Physics - Theory
url https://dx.doi.org/10.1016/j.physletb.2014.06.044
http://cds.cern.ch/record/1697468
work_keys_str_mv AT antoniadisi fgutswithmordellweilu1s
AT leontarisgk fgutswithmordellweilu1s

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