Generic Construction of the Standard Model Gauge Group and Matter Representations in F-theory

Taylor, Washington; Turner, Andrew P.

doi:10.1002/prop.202000009

Generic Construction of the Standard Model Gauge Group and Matter Representations in F-theory

Journal Article · Sat Apr 18 00:00:00 EDT 2020 · Fortschritte der Physik

DOI:https://doi.org/10.1002/prop.202000009· OSTI ID:1630291

Taylor, Washington ^[1]; Turner, Andrew P. ^[2]

Massachusetts Inst. of Technology (MIT), Cambridge, MA (United States); Massachusetts Institute of Technology
Massachusetts Inst. of Technology (MIT), Cambridge, MA (United States)

In this work, we describe general classes of 6D and 4D F-theory models with gauge group (SU(3)×SU(2)×U(1))/Z₆. For 6D F-theory models with no tensor multiplets, we prove that this set of constructions gives all possible consistent supergravity theories with this gauge group and the corresponding generic matter representations, which include those of the MSSM. We expect, though do not prove, that these models are similarly generic for 6D theories with tensor multiplets and for 4D N=1 supergravity theories. Finally, the models in the largest class of these constructions come from deforming an underlying geometry with SU(4)×SU(3)×SU(2), corresponding to Higgsing on three bifundamental fields.

View Accepted Manuscript (DOE)

Research Organization:: Massachusetts Institute of Technology (MIT), Cambridge, MA (United States)

Sponsoring Organization:: USDOE Office of Science (SC), High Energy Physics (HEP) (SC-25)

Grant/Contract Number:: SC0012567

OSTI ID:: 1630291

Alternate ID(s):: OSTI ID: 1615383
OSTI ID: 22971944

Journal Information:: Fortschritte der Physik, Journal Name: Fortschritte der Physik Journal Issue: 5 Vol. 68; ISSN 0015-8208

Publisher:: WileyCopyright Statement

Country of Publication:: United States

Language:: English

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72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
F-theory
standard model
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