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arXiv · 2412.01898

Unconventional Supersymmetry via the Dressing Field Method

J. François·L. Ravera
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Abstract

We re-construe unconventional supersymmetry, a notion introduced by Alvarez-Valenzuela-Zanelli (AVZ), as an attempt to use the framework of supersymmetric field theory to describe fermionic matter fields and bosonic gauge fields in a unified way, as parts of a single superconnection. It hinges upon the so-called matter ansatz. Unfortunately, the formal and conceptual status of the ansatz has remained unclear, preventing unconventional supersymmetry to be used in a principled way as a general approach beyond the model in which it was first considered. In this letter, we lift this restriction by showing that the ansatz is a special case of the Dressing Field Method, a new systematic tool to exhibit the gauge-invariant content of general-relativistic gauge field theories.

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J. François, L. Ravera. 2025-07-04. Unconventional Supersymmetry via the Dressing Field Method. https://doi.org/10.1103/76n5-4mg1

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