4.4 Article

General F-theory models with tuned (SU(3) x SU(2) x U(1))/DOUBLE-STRUCK CAPITAL Z6 symmetry

Journal

JOURNAL OF HIGH ENERGY PHYSICS
Volume -, Issue 4, Pages -

Publisher

SPRINGER
DOI: 10.1007/JHEP04(2020)008

Keywords

F-Theory; Supergravity Models

Funding

  1. DOE [DE-SC00012567]
  2. Tushar Shah and Sara Zion fellowship
  3. NSF [PHY-1748958, PHY-1720321]
  4. MIT International Science and Technology Initiatives (MISTI) MIT-Africa-Imperial College seed fund program

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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) x SU(2) x U(1))/DOUBLE-STRUCK CAPITAL 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 Cvetic, 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.

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