General F-theory models with tuned \((\mathrm{SU}(3) \times \mathrm{SU}(2) \times \mathrm{U}(1))/\mathbb{Z}_6\) symmetry

DOI10.1007/JHEP04(2020)008zbMATH Open1436.83100arXiv1912.10991OpenAlexW3015168881MaRDI QIDQ780662

Author name not available (Why is that?)

Publication date: 15 July 2020

Published in: (Search for Journal in Brave)

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

(o p e r a t o r n a m e S U (3) i m e s o p e r a t o r n a m e S U (2) i m e s o p e r a t o r n a m e U (1)) / m a t h b b 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

o p e r a t o r n a m e U (1)

gauge symmetry and charges

q l e 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 Cvetiv{c}, Halverson, Lin, Liu, and Tian, for which we demonstrate explicitly the possibility of unification through an

o p e r a t o r n a m e S U (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.

Full work available at URL: https://arxiv.org/abs/1912.10991

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