F-theory compactifications for supersymmetric GUTs

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

Abstract

We construct a family of elliptically fibered Calabi-Yau four-folds Y_4 for F-theory compactifications that realize SU(5) GUTs in the low-energy limit. The three-fold base X_3 of these fibrations is almost Fano and satisfies the topological criteria required to ensure that the U(1)_Y gauge boson remains massless, while allowing a decoupling of GUT and Planck scale physics. We study generic features of these models and the ability to engineer three chiral generations of MSSM matter. Finally, we demonstrate that it is relatively easy to implement the topological conditions required to reproduce certain successful features of local F-theory models, such as the emergence of flavor hierarchies.

Additional Information

© SISSA 2009. Received 26 May 2009, accepted for publication 21 July 2009. Published 10 August 2009. We are especially grateful to Melissa Liu for helping us to understand various aspects of the geometry of ˜X . We would also like to thank V. Braun, A. Grassi, S. Gukov, K. Matsuki, S. Sethi, and T. Weigand, for valuable discussions. The work of JM and SSN was supported by John A. McCone Postdoctoral Fellowships. The work of NS was supported in part by the DOE-grant DE-FG03-92-ER40701. JM is grateful to the Institute of Mathematical Sciences in Chennai, the Chennai Mathematical Institute, the organizers of the 2008 Indian Strings Meeting, and the Enrico Fermi Institute at the University of Chicago for their hospitality at various stages of this work. SSN thanks the KITP, Santa Barbara, and ENS, Paris, for hospitality during the course of this work.

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