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

Abstract

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.

Authors:

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

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+ Show Author Affiliations

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

Publication Date:

Sat Apr 18 00:00:00 EDT 2020

Research Org.:

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

Sponsoring Org.:

USDOE Office of Science (SC), High Energy Physics (HEP)

OSTI Identifier:

1630291

Alternate Identifier(s):

OSTI ID: 1615383

Grant/Contract Number:  

SC0012567; SC00012567

Resource Type:

Accepted Manuscript

Journal Name:

Fortschritte der Physik

Additional Journal Information:

Journal Volume: 68; Journal Issue: 5; Journal ID: ISSN 0015-8208

Publisher:

Wiley

Country of Publication:

United States

Language:

English

Subject:

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