What is the minimal supersymmetric Standard Model from F-theory?

TL;DR

This paper constructs a minimal supersymmetric Standard Model from F-theory using spectral cover, focusing on gauge symmetry, Higgs sector extensions, and proton decay suppression, with implications for unification and mu-parameter dynamics.

Contribution

It introduces a novel F-theory spectral cover approach to realize the MSSM with specific Higgs and matter configurations under minimal assumptions.

Findings

Distinction between up and down Higgs fields achieved

Proton decay operators suppressed up to dimension five

Existence of a singlet influencing mu-parameter dynamics

Abstract

We construct gauge theory of SU(3)xSU(2)xU(1) by spectral cover from F-theory and ask how the Standard Model is extended under minimal assumptions on Higgs sector. For the requirement on different numbers between Higgs pairs and matter generations (respectively one and three) distinguished by R-parity, we choose a universal G-flux obeying SO(10) but slightly breaking E_6 unification relation. This condition forces distinction between up and down Higgs fields, suppression of proton decay operators up to dimension five, and existence and dynamics of a singlet related to mu-parameter.