General Ftheory models with tuned (SU(3) × SU(2) × U(1))/ Z _{6} symmetry
Abstract
We construct a general form for an Ftheory 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 Ftheory 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) (SC25); National Science Foundation (NSF)
 OSTI Identifier:
 1630286
 Grant/Contract Number:
 SC0012567; PHY1748958
 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 10298479
 Publisher:
 Springer Berlin
 Country of Publication:
 United States
 Language:
 English
 Subject:
 72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS; FTheory; Supergravity Models
Citation Formats
Raghuram, Nikhil, Taylor, Washington, and Turner, Andrew P. General Ftheory 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 Ftheory 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 Ftheory 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 Ftheory 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 Ftheory 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 Ftheory 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 = {10298479},
number = 4,
volume = 2020,
place = {United States},
year = {2020},
month = {4}
}
Works referenced in this record:
Ftheory
conference, September 2018
 Weigand, Timo
 Proceedings of Theoretical Advanced Study Institute Summer School 2017 "Physics at the Fundamental Frontier" — PoS(TASI2017)
Breaking GUT groups in Ftheory
journal, January 2011
 Donagi, Ron; Wijnholt, Martijn
 Advances in Theoretical and Mathematical Physics, Vol. 15, Issue 6
Model building with $F$theory
journal, January 2011
 Donagi, Ron; Wijnholt, Martijn
 Advances in Theoretical and Mathematical Physics, Vol. 15, Issue 5
Particle Physics Implications of FTheory
journal, November 2010
 Heckman, Jonathan J.
 Annual Review of Nuclear and Particle Science, Vol. 60, Issue 1
Lectures on Ftheory compactifications and model building
journal, October 2010
 Weigand, Timo
 Classical and Quantum Gravity, Vol. 27, Issue 21
Models of Particle Physics from type iib String Theory and FTheory: a Review
journal, March 2013
 Maharana, Anshuman; Palti, Eran
 International Journal of Modern Physics A, Vol. 28, Issue 05n06
Matter from geometry
journal, July 1997
 Katz, Sheldon; Vafa, Cumrun
 Nuclear Physics B, Vol. 497, Issue 12