Spin-statistics-quantum number connection and supersymmetry

TL;DR

This paper explores a theoretical link between spin, quantum numbers, and supersymmetry, proposing that fermions as skyrmions could explain the absence of observed supersymmetric particles and potential violations of the Pauli principle at high energies.

Contribution

It introduces a conjecture connecting fermions as skyrmions with conserved quantum numbers, offering a novel perspective on the spin-statistics-quantum number relationship and supersymmetry.

Findings

Fermions may be skyrmions carrying conserved quantum numbers.

The connection explains the non-observation of supersymmetric particles.

High-energy processes could violate the Pauli exclusion principle.

Abstract

The analogy between the Skyrme and Higgs field leads to the conjecture that all fermions are skyrmions and thus always carry conserved quantum numbers, which are identified with baryon or lepton quantum numbers. This connection between spin and quantum numbers, which parallels the connection between spin and statistics due to the Pauli principle, may explain why supersymmetry has not been observed. Creation of s-particles at higher than present energies due to a breakdown of the Skyrme mechanism might imply the violation of the exclusion principle.