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Discrete Family Symmetry from F-Theory GUTs

Discrete Family Symmetry from F-Theory GUTs
Discrete Family Symmetry from F-Theory GUTs
We consider realistic F-theory GUT models based on discrete family symmetries $A_4$ and $S_3$, combined with $SU(5)$ GUT, comparing our results to existing field theory models based on these groups. We provide an explicit calculation to support the emergence of the family symmetry from the discrete monodromies arising in F-theory. We work within the spectral cover picture where in the present context the discrete symmetries are associated to monodromies among the roots of a five degree polynomial and hence constitute a subgroup of the $S_5$ permutation symmetry. We focus on the cases of $A_4$ and $S_3$ subgroups, motivated by successful phenomenological models interpreting the fermion mass hierarchy and in particular the neutrino data. More precisely, we study the implications on the effective field theories by analysing the relevant discriminants and the topological properties of the polynomial coefficients, while we propose a discrete version of the doublet-triplet splitting mechanism.
hep-ph, hep-th
1029-8479
Karozas, Athanasios
06658c57-d972-41c7-903c-3b239d10f059
King, Stephen F.
f8c616b7-0336-4046-a943-700af83a1538
Leontaris, George K.
f4bef063-d030-4e71-a2aa-a046297e31cf
Meadowcroft, Andrew K.
c3eef4ca-56ac-4957-9d8d-11aeaebc2d2c
Karozas, Athanasios
06658c57-d972-41c7-903c-3b239d10f059
King, Stephen F.
f8c616b7-0336-4046-a943-700af83a1538
Leontaris, George K.
f4bef063-d030-4e71-a2aa-a046297e31cf
Meadowcroft, Andrew K.
c3eef4ca-56ac-4957-9d8d-11aeaebc2d2c

Karozas, Athanasios, King, Stephen F., Leontaris, George K. and Meadowcroft, Andrew K. (2014) Discrete Family Symmetry from F-Theory GUTs. Journal of High Energy Physics. (doi:10.1007/JHEP09(2014)107).

Record type: Article

Abstract

We consider realistic F-theory GUT models based on discrete family symmetries $A_4$ and $S_3$, combined with $SU(5)$ GUT, comparing our results to existing field theory models based on these groups. We provide an explicit calculation to support the emergence of the family symmetry from the discrete monodromies arising in F-theory. We work within the spectral cover picture where in the present context the discrete symmetries are associated to monodromies among the roots of a five degree polynomial and hence constitute a subgroup of the $S_5$ permutation symmetry. We focus on the cases of $A_4$ and $S_3$ subgroups, motivated by successful phenomenological models interpreting the fermion mass hierarchy and in particular the neutrino data. More precisely, we study the implications on the effective field theories by analysing the relevant discriminants and the topological properties of the polynomial coefficients, while we propose a discrete version of the doublet-triplet splitting mechanism.

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Published date: 19 September 2014
Additional Information: 49 pages, 9 figures
Keywords: hep-ph, hep-th
Organisations: Physics & Astronomy, Theory Group

Identifiers

Local EPrints ID: 410254
URI: http://eprints.soton.ac.uk/id/eprint/410254
ISSN: 1029-8479
PURE UUID: fb414dc3-556c-49d0-adb1-9827f978aa5f

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Date deposited: 06 Jun 2017 04:03
Last modified: 14 Aug 2019 17:32

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