Non supersymmetric femion boson symmetry

Vaibhav Wasnik

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arXiv · 2006.00175

Non supersymmetric femion boson symmetry

Vaibhav Wasnik

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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.

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Vaibhav Wasnik. 2020-05-30. Non supersymmetric femion boson symmetry. https://arxiv.org/abs/2006.00175

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