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. ^[1]

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1. 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.

• Research Organization: Massachusetts Inst. of Technology (MIT), Cambridge, MA (United States)
• Sponsoring Organization: USDOE Office of Science (SC), High Energy Physics (HEP)
• Grant/Contract Number: SC0012567; SC00012567
• OSTI ID: 1630291
• Alternate ID(s): OSTI ID: 1615383
• Journal Information: Fortschritte der Physik, Vol. 68, Issue 5; ISSN 0015-8208
• Publisher: Wiley
• Country of Publication: United States
• Language: English

Related Subjects

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