Lectures on F-theory compactifications and model building

Details Lectures on F-theory compactifications and model building Lectures on F-theory compactifications and model building

2010-09-17

arxiv.org/abs/1009.3497v2

Class.Quant.Grav.27:214004,2010

Physics

High Energy Physics

High Energy Physics - Theory

Invited contribution to the proceedings of the CERN Winter School on Supergravity, Strings and Gauge Theory 2010, to appear in

Scientific paper

10.1088/0264-9381/27/21/214004

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.

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