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arXiv · 2507.14381

The Supersymmetric Standard Model, combined with a special Exotic Invariant, yields a new kind of SUSY mass splitting (E6)

John A. Dixon
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Abstract

Exotic Invariants, with Lorentz invariance, have been found in the BRS cohomology of SUSY in 3+1 dimensions. Until recently, it was generally accepted that no such objects could exist. It is shown here that the Supersymmetric Standard Model (``the SSM'') can be coupled to a special Exotic Invariant to form a new model, which we call the Exotic Model (``the XM'') . This Exotic Model continues to generate the usual Vacuum Expectation Value (``VEV'') that breaks gauge symmetry from SU(3) X SU(2) X U(1) to SU(3) X U(1) But now, from the same VEV, the Exotic Model also generates SUSY violating mass splitting of the neutral ``ZX'' sector at tree level. This is possible because the Exotic Model changes the algebra of SUSY. This ``ZX'' sector is flavour neutral, which might explain the suppression of flavour changing neutral currents observed in experiments. The Exotic Model is governed by a very restrictive Master Equation, so there should be a very small number of parameters in it.

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John A. Dixon. 2025-07-18. The Supersymmetric Standard Model, combined with a special Exotic Invariant, yields a new kind of SUSY mass splitting (E6). https://arxiv.org/abs/2507.14381

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