U(1) symmetries in F-theory GUTs with multiple sections
By Chris Mayrhofer, Eran Palti, T. Weigand. 2012
144 citations recorded by the source corpus.
A bstractWe present a systematic construction of F-theory compactifications with Abelian gauge symmetries in addition to a non-Abelian gauge group G. The formalism is generally applicable to models in global Tate form but we focus on the phenomenologically interesting case of G = SU(5). 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 U(1) factors, are worked out in detail for the two possible embeddings of a single U(1) factor into E8, usually denoted SU(5) × U(1)X and SU(5) × U(1)PQ. The resolved models can be understood either patchwise via a small resolution or in terms of a $ {{\mathbb{P}}_{1,1,2 }} $ [4] description of the elliptic fibration. We derive the U(1) charges of the fields from the geometry, construct the U(1) gauge fluxes and exemplify the structure of the Yukawa interaction points. A particularly interesting result is that the global SU(5) × U(1)PQ model exhibits extra SU(5)-singlet states which are incompatible with a single global decomposition of the 248 of E8. The states in turn lead to new Yukawa type couplings which have not been considered in local model building.
Subfields: Geometry and Topology, Mathematical Physics, Nuclear and High Energy Physics
View Paper: https://www.semanticscholar.org/paper/e54e6c1e2108d6e1c67f187db71befb2cdefca87
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In Geometry and Topology
In Mathematical Physics
In Nuclear and High Energy Physics
- Eran Palti
- Denis Klevers
- Anshuman Maharana
- Hernan Piragua
- M. Cvetič
- T. Weigand
- Ralph Blumenhagen
- Thomas W. Grimm
Citations in the corpus
- MODELS OF PARTICLE PHYSICS FROM TYPE IIB STRING THEORY AND F-THEORY: A REVIEW (2012, background): “This motivated the study of global models which ensure an unbroken U(1) over the full CY [189,193].”
- F-theory compactifications with multiple U(1)-factors: constructing elliptic fibrations with rational sections (2013, background): “This can be viewed (3)This fact has also been exploited in [49, 43, 45, 46].”