TY - JOUR

T1 - SU(5) tops with multiple U(1)s in F-theory

AU - Borchmann, Jan

AU - Mayrhofer, Christoph

AU - Palti, Eran

AU - Weigand, Timo

N1 - Funding Information:
We thank Sakura Schäfer-Nameki and Thomas Grimm for very interesting and useful discussions regarding the local limit of the model presented in [47] . We also thank Harald Skarke and Roberto Valandro for important discussions. The research of E.P. is supported by a Marie Curie Intra-European Fellowship within the 7th European Community Framework Programme and by the Heidelberg Graduate School for Fundamental Physics . This work is supported in part by the Collaborative Research Center TR33 “The Dark Universe”.

PY - 2014/5/1

Y1 - 2014/5/1

N2 - We study F-theory compactifications with up to two Abelian gauge group factors that are based on elliptically fibred Calabi-Yau 4-folds describable as generic hypersurfaces. Special emphasis is put on elliptic fibrations based on generic Bl2P2[3]-fibrations. These exhibit a Mordell-Weil group of rank two corresponding to two extra rational sections which give rise to two Abelian gauge group factors. We show that an alternative description of the same geometry as a complete intersection makes the existence of a holomorphic zero-section manifest, on the basis of which we compute the U(1) generators and a class of gauge fluxes. We analyse the fibre degenerations responsible for the appearance of localised charged matter states, whose charges, interactions and chiral index we compute geometrically. We implement an additional SU(5) gauge group by constructing the four inequivalent toric tops giving rise to SU(5)×U(1)×U(1) gauge symmetry and analyse the matter content. We demonstrate that notorious non-flat points can be avoided in well-defined Calabi-Yau 4-folds. These methods are applied to the remaining possible hypersurface fibrations with one generic Abelian gauge factor. We analyse the local limit of our SU(5)×U(1)×U(1) models and show that one of our models is not embeddable into E8 due to recombination of matter curves that cannot be described as a Higgsing of E8. We argue that such recombination forms a general mechanism that opens up new model building possibilities in F-theory.

AB - We study F-theory compactifications with up to two Abelian gauge group factors that are based on elliptically fibred Calabi-Yau 4-folds describable as generic hypersurfaces. Special emphasis is put on elliptic fibrations based on generic Bl2P2[3]-fibrations. These exhibit a Mordell-Weil group of rank two corresponding to two extra rational sections which give rise to two Abelian gauge group factors. We show that an alternative description of the same geometry as a complete intersection makes the existence of a holomorphic zero-section manifest, on the basis of which we compute the U(1) generators and a class of gauge fluxes. We analyse the fibre degenerations responsible for the appearance of localised charged matter states, whose charges, interactions and chiral index we compute geometrically. We implement an additional SU(5) gauge group by constructing the four inequivalent toric tops giving rise to SU(5)×U(1)×U(1) gauge symmetry and analyse the matter content. We demonstrate that notorious non-flat points can be avoided in well-defined Calabi-Yau 4-folds. These methods are applied to the remaining possible hypersurface fibrations with one generic Abelian gauge factor. We analyse the local limit of our SU(5)×U(1)×U(1) models and show that one of our models is not embeddable into E8 due to recombination of matter curves that cannot be described as a Higgsing of E8. We argue that such recombination forms a general mechanism that opens up new model building possibilities in F-theory.

UR - http://www.scopus.com/inward/record.url?scp=84897678835&partnerID=8YFLogxK

U2 - 10.1016/j.nuclphysb.2014.02.006

DO - 10.1016/j.nuclphysb.2014.02.006

M3 - Article

AN - SCOPUS:84897678835

SN - 0550-3213

VL - 882

SP - 1

EP - 69

JO - Nuclear Physics B

JF - Nuclear Physics B

IS - 1

ER -