2016
DOI: 10.1103/physrevd.93.126007
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MSSM from F-theory SU(5) with Klein monodromy

Abstract: We revisit a class of SU (5) SUSY GUT models which arise in the context of the spectral cover with Klein Group monodromy V 4 = Z 2 × Z 2 . We show that Z 2 matter parities can be realised via new geometric symmetries respected by the spectral cover. We discuss a particular example of this kind, where the low energy effective theory below the GUT scale is just the MSSM with no exotics and standard matter parity, extended by the seesaw mechanism with two right-handed neutrinos.

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Cited by 9 publications
(9 citation statements)
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References 49 publications
(42 reference statements)
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“…Recently, some of us have analysed various phenomenological aspects of F-theory effective models using the spectral cover description [15,16,17]. While, in F-constructions, R-parity conservation (RPC) can emerge either as a remnant symmetry of extra U (1) factors, or it can be imposed by appealing to some geometric property of the internal manifold and the flux [18], there is no compelling reason to assume this.…”
Section: Introductionmentioning
confidence: 99%
“…Recently, some of us have analysed various phenomenological aspects of F-theory effective models using the spectral cover description [15,16,17]. While, in F-constructions, R-parity conservation (RPC) can emerge either as a remnant symmetry of extra U (1) factors, or it can be imposed by appealing to some geometric property of the internal manifold and the flux [18], there is no compelling reason to assume this.…”
Section: Introductionmentioning
confidence: 99%
“…More precisely, the tree-level operators : The effect of these terms strongly depend on the dynamics of the singlets, however it would be desirable to completely eliminate such operators. One can impose an R-symmetry by hand [47] or to investigate the geometric origin of discrete Z N symmetries that can eliminate such operators [55][56][57][58]. In addition, the study of such Yukawa coefficients at a local-level, shows that they can be suppressed for wide regions of the flux parameter space [59].…”
Section: R-parity Violating Termsmentioning
confidence: 99%
“…Clearly, to avoid decoupling of the Higgs doublets from the light spectrum, we must assume that θ 13 is very small and close to the TeV scale. Regarding RPV terms these can be controlled by imposing certain discrete symmetries of geometric origin [23,24,25] or by considering local Yukawa flux effects as described in [26].…”
Section: Analysis Of Model Dmentioning
confidence: 99%