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Title: General F-theory models with tuned (SU(3) × SU(2) × U(1))/ Z 6 symmetry

Abstract

We construct a general form for an F-theory Weierstrass model over a general base giving a 6D or 4D supergravity theory with gauge group (SU(3) × SU(2) × U(1))/Z 6 and generic associated matter, which includes the matter content of the standard model. The Weierstrass model is identified by unHiggsing a model with U(1) gauge symmetry and charges q ≤ 4 previously found by the first author. This model includes two distinct branches that were identified in earlier work, and includes as a special case the class of models recently studied by Cvetič, Halverson, Lin, Liu, and Tian, for which we demonstrate explicitly the possibility of unification through an SU(5) unHiggsing. We develop a systematic methodology for checking that a parameterized class of F-theory Weierstrass models with a given gauge group G and fixed matter content is generic (contains all allowed moduli) and confirm that this holds for the models constructed here.

Authors:
 [1];  [2]; ORCiD logo [2]
  1. Virginia Polytechnic Inst. and State Univ. (Virginia Tech), Blacksburg, VA (United States)
  2. Massachusetts Inst. of Technology (MIT), Cambridge, MA (United States)
Publication Date:
Research Org.:
Massachusetts Inst. of Technology (MIT), Cambridge, MA (United States)
Sponsoring Org.:
USDOE Office of Science (SC), High Energy Physics (HEP) (SC-25); National Science Foundation (NSF)
OSTI Identifier:
1630286
Grant/Contract Number:  
SC0012567; PHY-1748958
Resource Type:
Journal Article: Accepted Manuscript
Journal Name:
Journal of High Energy Physics (Online)
Additional Journal Information:
Journal Volume: 2020; Journal Issue: 4; Journal ID: ISSN 1029-8479
Publisher:
Springer Berlin
Country of Publication:
United States
Language:
English
Subject:
72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS; F-Theory; Supergravity Models

Citation Formats

Raghuram, Nikhil, Taylor, Washington, and Turner, Andrew P. General F-theory models with tuned (SU(3) × SU(2) × U(1))/ Z6 symmetry. United States: N. p., 2020. Web. doi:10.1007/JHEP04(2020)008.
Raghuram, Nikhil, Taylor, Washington, & Turner, Andrew P. General F-theory models with tuned (SU(3) × SU(2) × U(1))/ Z6 symmetry. United States. doi:10.1007/JHEP04(2020)008.
Raghuram, Nikhil, Taylor, Washington, and Turner, Andrew P. Wed . "General F-theory models with tuned (SU(3) × SU(2) × U(1))/ Z6 symmetry". United States. doi:10.1007/JHEP04(2020)008. https://www.osti.gov/servlets/purl/1630286.
@article{osti_1630286,
title = {General F-theory models with tuned (SU(3) × SU(2) × U(1))/ Z6 symmetry},
author = {Raghuram, Nikhil and Taylor, Washington and Turner, Andrew P.},
abstractNote = {We construct a general form for an F-theory Weierstrass model over a general base giving a 6D or 4D supergravity theory with gauge group (SU(3) × SU(2) × U(1))/Z6 and generic associated matter, which includes the matter content of the standard model. The Weierstrass model is identified by unHiggsing a model with U(1) gauge symmetry and charges q ≤ 4 previously found by the first author. This model includes two distinct branches that were identified in earlier work, and includes as a special case the class of models recently studied by Cvetič, Halverson, Lin, Liu, and Tian, for which we demonstrate explicitly the possibility of unification through an SU(5) unHiggsing. We develop a systematic methodology for checking that a parameterized class of F-theory Weierstrass models with a given gauge group G and fixed matter content is generic (contains all allowed moduli) and confirm that this holds for the models constructed here.},
doi = {10.1007/JHEP04(2020)008},
journal = {Journal of High Energy Physics (Online)},
issn = {1029-8479},
number = 4,
volume = 2020,
place = {United States},
year = {2020},
month = {4}
}

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