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General F-theory models with tuned (SU(3) × SU(2) × U(1))/ Z6 symmetry

Journal Article · · Journal of High Energy Physics (Online)
 [1];  [2];  [2]
  1. Virginia Polytechnic Inst. and State Univ. (Virginia Tech), Blacksburg, VA (United States); Massachusetts Institute of Technology
  2. Massachusetts Inst. of Technology (MIT), Cambridge, MA (United States)
+ Show Author Affiliations
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.
Research Organization:
Massachusetts Institute of Technology (MIT), Cambridge, MA (United States)
Sponsoring Organization:
National Science Foundation (NSF); USDOE Office of Science (SC), High Energy Physics (HEP) (SC-25)
Grant/Contract Number:
SC0012567
OSTI ID:
1630286
Journal Information:
Journal of High Energy Physics (Online), Journal Name: Journal of High Energy Physics (Online) Journal Issue: 4 Vol. 2020; ISSN 1029-8479
Publisher:
Springer BerlinCopyright Statement
Country of Publication:
United States
Language:
English

References (8)

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Matter from geometry journal July 1997
Lectures on F-theory compactifications and model building journal October 2010
Models of Particle Physics from type iib String Theory and F-Theory: a Review journal March 2013
Particle Physics Implications of F-Theory journal November 2010
F-theory
  • Weigand, Timo
  • Proceedings of Theoretical Advanced Study Institute Summer School 2017 "Physics at the Fundamental Frontier" — PoS(TASI2017) https://doi.org/10.22323/1.305.0016
conference September 2018
Model building with $F$-theory journal January 2011
Breaking GUT groups in F-theory journal January 2011

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Related Subjects

72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
F-Theory
Supergravity Models