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

Journal Article · 01 April 2020 · Journal of High Energy Physics (Online)

DOI: https://doi.org/10.1007/JHEP04(2020)008 · OSTI ID:1630286

Raghuram, Nikhil ^[1]; Taylor, Washington ^[2]; Turner, Andrew P.  ^[2]

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1. Virginia Polytechnic Inst. and State Univ. (Virginia Tech), Blacksburg, VA (United States)
2. Massachusetts Inst. of Technology (MIT), Cambridge, MA (United States)

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 Inst. of Technology (MIT), Cambridge, MA (United States)
• Sponsoring Organization: USDOE Office of Science (SC), High Energy Physics (HEP); National Science Foundation (NSF)
• Grant/Contract Number: SC0012567; PHY-1748958
• OSTI ID: 1630286
• Journal Information: Journal of High Energy Physics (Online), Vol. 2020, Issue 4; ISSN 1029-8479
• Publisher: Springer BerlinCopyright Statement
• Country of Publication: United States
• Language: English