Compact F-theory GUTs with U(1)_(PQ)

Creators: Marsano, Joseph; Saulina, Natalia; Schäfer-Nameki, Sakura

Abstract

We construct semi-local and global realizations of SU(5) GUTs in F-theory that utilize a U(1)PQ symmetry to protect against dimension four proton decay. Symmetries of this type, which assign charges to H_u and H_d that forbid a tree level μ term, play an important role in scenarios for neutrino physics and gauge mediation that have been proposed in local F-theory model building. As demonstrated in [1], the presence of such a symmetry implies the existence of non-GUT exotics in the spectrum, when hypercharge flux is used to break the GUT group and to give rise to doublet-triplet splitting. These exotics are of precisely the right type to solve the unification problem in such F-theory models and might also comprise a non-standard messenger sector for gauge mediation. We present a detailed description of models with U(1)_(PQ) in the semi-local regime, which does not depend on details of any specific Calabi-Yau four-fold, and then specialize to the geometry of [2] to construct three-generation examples with the minimal allowed number of non-GUT exotics. Among these, we find a handful of models in which the D3-tadpole constraint can be satisfied without requiring the introduction of anti-D3-branes, though this analysis does not incorporate contributions from additional fluxes that will ultimately be needed for moduli stabilization. Finally, because SU(5) singlets that carry U(1)_(PQ) charge may serve as candidate right-handed neutrinos or can be used to lift the exotics, we study their origin in compact models and motivate a conjecture for how to count their zero modes in a semi-local setting.

Additional Information

© 2010 SISSA. This article is distributed under the terms of the Creative Commons Attribution Noncommercial License which permits any noncommercial use, distribution, and reproduction in any medium, provided the original author(s) and source are credited. Received: 23 December 2009 Accepted: 22 March 2010 Published online: 23 April 2010. We thank F. Quevedo, T. Watari, and T. Weigand for helpful discussions. We are in particular grateful to R. Blumenhagen, T. Grimm and T. Weigand for bringing to our attention the modified D3-tadpole analysis in their paper. The work of JM and SSN was partially supported by John A. McCone Postdoctoral Fellowships. The research of JM was supported also in part by the DOE grant DE-FG02-90ER-40560. The research of SSN was supported also in part by the National Science Foundation under Grant No. PHY05- 51164. The work of NS was supported in part by the DOE-grant DE-FG03-92-ER40701. SSN thanks the Aspen Center for Physics, Brandeis University, University of Michigan and Perimeter Institute for hospitality. NS thanks the Simons Workshop on Geometry and Physics for hospitality during the course of this work. JM is grateful to the theory groups at the University of Illinois and Ohio State University, the Perimeter Institute, the Yukawa Institute for Theoretical Physics at Kyoto University, and the organizers of the workshop "Branes, Strings, and Black Holes" for their hospitality.

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