Lectures on F-theory compactifications and model building
arXiv:1009.3497 · doi:10.1088/0264-9381/27/21/214004
Abstract
These lecture notes are devoted to formal and phenomenological aspects of F-theory. We begin with a pedagogical introduction to the general concepts of F-theory, covering classic topics such as the connection to Type IIB orientifolds, the geometry of elliptic fibrations and the emergence of gauge groups, matter and Yukawa couplings. As a suitable framework for the construction of compact F-theory vacua we describe a special class of Weierstrass models called Tate models, whose local properties are captured by the spectral cover construction. Armed with this technology we proceed with a survey of F-theory GUT models, aiming at an overview of basic conceptual and phenomenological aspects, in particular in connection with GUT breaking via hypercharge flux.
Invited contribution to the proceedings of the CERN Winter School on Supergravity, Strings and Gauge Theory 2010, to appear in Classical and Quantum Gravity; 63 pages; v2: references added, typos corrected
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