General F-theory models with tuned (SU(3) × SU(2) × U(1))/ Z6 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))/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.
- Authors:
-
- Virginia Polytechnic Inst. and State Univ. (Virginia Tech), Blacksburg, VA (United States)
- 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); National Science Foundation (NSF)
- OSTI Identifier:
- 1630286
- Grant/Contract Number:
- SC0012567; PHY-1748958
- Resource Type:
- Accepted Manuscript
- Journal Name:
- Journal of High Energy Physics (Online)
- Additional Journal Information:
- Journal Name: Journal of High Energy Physics (Online); 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. https://doi.org/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. https://doi.org/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)},
number = 4,
volume = 2020,
place = {United States},
year = {Wed Apr 01 00:00:00 EDT 2020},
month = {Wed Apr 01 00:00:00 EDT 2020}
}
Web of Science
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