Open Access
December 2011 Breaking GUT groups in $F$-theory
Ron Donagi, Martijn Wijnholt
Adv. Theor. Math. Phys. 15(6): 1523-1603 (December 2011).


We consider the possibility of breaking the GUT group to the Standard Model gauge group in $F$-theory compactifications by turning on certain $U(1)$ fluxes. We show that the requirement of massless hypercharge is equivalent to a topological constraint on the UV completion of the local model. The possibility of this mechanism is intrinsic to $F$-theory. We address some of the phenomenological signatures of this scenario. We show that our models predict monopoles as in conventional GUT models. We discuss in detail the leading threshold corrections to the gauge kinetic terms and their effect on unification. They turn out to be related to Ray–Singer torsion. We also discuss the issue of proton decay in $F$-theory models and explain how to engineer models which satisfy current experimental bounds.


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Ron Donagi. Martijn Wijnholt. "Breaking GUT groups in $F$-theory." Adv. Theor. Math. Phys. 15 (6) 1523 - 1603, December 2011.


Published: December 2011
First available in Project Euclid: 12 December 2012

zbMATH: 1269.81121
MathSciNet: MR2989809

Rights: Copyright © 2011 International Press of Boston

Vol.15 • No. 6 • December 2011
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