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Family symmetries in F-theory GUTs

Family symmetries in F-theory GUTs
Family symmetries in F-theory GUTs
We discuss F-theory SU(5) GUTs in which some or all of the quark and lepton families are assigned to different curves and family symmetry enforces a leading order rank one structure of the Yukawa matrices. We consider two possibilities for the suppression of baryon and lepton number violation. The first is based on Flipped SU(5) with gauge group SU(5)×U(1)?×SU(4) in which U(1)? plays the role of a generalised matter parity. We present an example which, after imposing a Z2 monodromy, has a family symmetry. Even in the absence of flux, spontaneous breaking of the family symmetry leads to viable quark, charged lepton and neutrino masses and mixing. The second possibility has an R-parity associated with the symmetry of the underlying compactification manifold and the flux. We construct an example of a model with viable masses and mixing angles based on the gauge group SU(5)×SU(5) with a family symmetry after imposing a Z2 monodromy.

0550-3213
119-135
King, S.F.
f8c616b7-0336-4046-a943-700af83a1538
Leontaris, G.K.
fa51f3b0-efd1-4243-b5b0-1f10bb05fa72
Ross, G.G.
d58064ce-8a29-4bfc-b438-ef29b0a16bcb
King, S.F.
f8c616b7-0336-4046-a943-700af83a1538
Leontaris, G.K.
fa51f3b0-efd1-4243-b5b0-1f10bb05fa72
Ross, G.G.
d58064ce-8a29-4bfc-b438-ef29b0a16bcb

King, S.F., Leontaris, G.K. and Ross, G.G. (2010) Family symmetries in F-theory GUTs. Nuclear Physics B, 838 (1-2), 119-135. (doi:10.1016/j.nuclphysb.2010.05.014).

Record type: Article

Abstract

We discuss F-theory SU(5) GUTs in which some or all of the quark and lepton families are assigned to different curves and family symmetry enforces a leading order rank one structure of the Yukawa matrices. We consider two possibilities for the suppression of baryon and lepton number violation. The first is based on Flipped SU(5) with gauge group SU(5)×U(1)?×SU(4) in which U(1)? plays the role of a generalised matter parity. We present an example which, after imposing a Z2 monodromy, has a family symmetry. Even in the absence of flux, spontaneous breaking of the family symmetry leads to viable quark, charged lepton and neutrino masses and mixing. The second possibility has an R-parity associated with the symmetry of the underlying compactification manifold and the flux. We construct an example of a model with viable masses and mixing angles based on the gauge group SU(5)×SU(5) with a family symmetry after imposing a Z2 monodromy.

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Published date: 2010

Identifiers

Local EPrints ID: 179039
URI: http://eprints.soton.ac.uk/id/eprint/179039
ISSN: 0550-3213
PURE UUID: 657ce717-8325-4c13-9487-9a7860297db9

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Date deposited: 26 Apr 2011 10:33
Last modified: 16 Jul 2019 23:44

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Contributors

Author: S.F. King
Author: G.K. Leontaris
Author: G.G. Ross

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