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Published August 19, 2009 | Published
Journal Article Open

Gauge mediation in F-theory GUT models

Abstract

We study a simple framework for gauge-mediated supersymmetry breaking in local grand unified theory (GUT) models based on F-theory 7-branes and demonstrate that a mechanism for solving both the µ and µ/B_µ problems emerges in a natural way. In particular, a straightforward coupling of the messengers to the Higgs sector leads to a geometry which not only provides us with an approximate U(1)_(PQ) symmetry that forbids the generation of µ at the GUT scale, it also forces the SUSY-breaking spurion field to carry a nontrivial Peccei-Quinn (PQ) charge. This connects the breaking of supersymmetry (SUSY) to the generation of µ so that the same scale enters both. Moreover, the messenger sector naturally realizes the D3-instanton triggered SUSY-breaking model of [J. Heckman, J. Marsano, N. Saulina, S. Schafer-Nameki, and C. Vafa, arXiv:0808.1286.] so this scale is exponentially suppressed relative to M_(GUT). The effective action at low scales is in fact precisely of the form of the "sweet spot supersymmetry" scenario studied by Ibe and Kitano in [M. Ibe and R. Kitano, J. High Energy Phys. 08 (2007) 016.].

Additional Information

© 2009 The American Physical Society. Received 30 September 2008; revised 24 July 2009; published 19 August 2009.We would like to thank M. Ibe, S. Kachru, C. Kilic, Y. Ookouchi, H. Ooguri, K. Saraikin, K. Vyas, T. Weigand, and especially C. Beasley, J. Heckman, R. Kitano, and C. Vafa for valuable discussions. The work of J. M. and S. S. N. was supported by the John A. McCone Foundation. The work of N. S. was supported in part by DOE Grant No. DE-FG03-92-ER40701. J. M. would like to thank the SITP at Stanford University, the Simons Center for Geometry and Physics at Stony Brook, the 2008 Simons Workshop in Mathematics and Physics, and the Aspen Center for Physics for kind hospitality during the course of this work. S. S. N. thanks the IPMU and the University of Tokyo for kind hospitality.

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