Authors: Christoph Mayrhofer Eran Palti Timo Weigand
Publish Date: 2013/03/18
Volume: 2013, Issue: 3, Pages: 98-
Abstract
We present a systematic construction of Ftheory compactifications with Abelian gauge symmetries in addition to a nonAbelian gauge group G The formalism is generally applicable to models in global Tate form but we focus on the phenomenologically interesting case of G = SU5 The Abelian gauge factors arise due to extra global sections resulting from a specific factorisation of the Tate polynomial which describes the elliptic fibration These constructions which accommodate up to four different U1 factors are worked out in detail for the two possible embeddings of a single U1 factor into E 8 usually denoted SU5 × U1 X and SU5 × U1 PQ The resolved models can be understood either patchwise via a small resolution or in terms of a mathbbP 112 4 description of the elliptic fibration We derive the U1 charges of the fields from the geometry construct the U1 gauge fluxes and exemplify the structure of the Yukawa interaction points A particularly interesting result is that the global SU5 × U1 PQ model exhibits extra SU5singlet states which are incompatible with a single global decomposition of the 248 of E 8 The states in turn lead to new Yukawa type couplings which have not been considered in local model buildingThis article is published under an open access license Please check the Copyright Information section for details of this license and what reuse is permitted If your intended use exceeds what is permitted by the license or if you are unable to locate the licence and reuse information please contact the Rights and Permissions team
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