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# Discrete Family Symmetry from F-Theory GUTs

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.

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

## Catalogue record

Date deposited: 06 Jun 2017 04:03

## Contributors

Author: Athanasios Karozas
Author: Stephen F. King
Author: George K. Leontaris