Extended Gauge Theory, Bi-Spinors, and Scalar Supersymmetry

TL;DR

This paper introduces a novel off-shell scalar supersymmetry framework within extended bi-spinor gauge theory, applicable to various gauge groups, potentially reducing the need for particle spectrum doubling in the Standard Model.

Contribution

It presents a new non-linear realization of scalar supersymmetry acting on graded differential forms, avoiding spectrum doubling and incorporating extra fermion generations.

Findings

Realizes scalar supersymmetry without doubling SM particles.

Applicable to multiple gauge groups including U(1) and SU(N).

Constructed as a globally U(2,2) invariant supersymmetric CFT.

Abstract

Within the context of the extended bi-spinor gauge theory we describe a new off-shell realization of scalar supersymmetry (s-susy) of massless interacting fields with U(1), U(1) x SU(N) and U(1) x SU(N_1) x SU(N_2) gauge groups. S-susy acts in the space of graded differential forms. The realization is non-linear in the non-abelian case. S-susy would not require the doubling of the SM particle spectrum. Instead, essentially only the forth generation of quarks and leptons would be needed as extra field content. The theory is by construction globally U(2,2) invariant and is an example of a supersymmetric CFT.