Non supersymmetric femion boson symmetry

TL;DR

This paper introduces a novel class of symmetry transformations connecting bosons and fermions that are not based on supersymmetry, with potential implications for quantum field theory and particle physics.

Contribution

It constructs explicit non-supersymmetric fermion-boson symmetry transformations and associated quantum theories, expanding the landscape of symmetry concepts beyond supersymmetry.

Findings

Constructed symmetry transformations relating scalars and fermions in four dimensions.

Developed quantum theories respecting these new symmetries with gauge fields.

Highlighted the possibility of negative vacuum energy in these theories.

Abstract

In this work we present symmetry transformations relating bosons to fermions which cannot be represented as a supersymmetric algebra. We present a symmetry transformation relating a complex scalar and a fermion in four dimensions and construct a theory defined by an action that respects the symmetry quantum mechanically. We next invoke gauge symmetry by adding a gauge field and a corresponding fermion and construct two different symmetry transformations with corresponding actions such that the corresponding theories respect the fermion boson symmetry transformations quantum mechanically. Unlike in a supersymmetric theory, the vacuum energy in the above theories could be negative. Phenomenological implications of the theories are open to research.