Standard Model and Gravity from Spinors

TL;DR

This paper presents a novel approach to unify gravity and the Standard Model using algebraic spinors, leading to a Pati-Salam group and potential observable signals at the LHC.

Contribution

It introduces a unification scheme based on algebraic spinors that naturally produces a Standard Model family and predicts new particles at accessible energies.

Findings

Emergence of Pati-Salam unification group at Planck scale

Prediction of isospin-triplet spin-two particles at the weak scale

Decoupling of chiral self-dual gravity at high energies

Abstract

We propose to unify the Gravity and Standard Model gauge groups by using algebraic spinors of the standard four-dimensional Clifford algebra, in left-right symmetric fashion. This generates exactly a Standard Model family of fermions, and a Pati-Salam unification group emerges, at the Planck scale, where (chiral) self-dual gravity decouples. As a remnant of the unification, isospin-triplets spin-two particles may naturally appear at the weak scale, providing a striking signal at the LHC.