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Unconventional Supersymmetry via the Dressing Field Method

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arxiv 2412.01898 v3 pith:RMPPCTL5 submitted 2024-12-02 hep-th gr-qc

J. François , L. Ravera This is my paper · ORCID
classification hep-thgr-qc
keywords fieldansatzsupersymmetryunconventionaldressingfieldsgaugematter
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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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Cited by 2 Pith papers

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score. Full citation record

  1. Toward Manifest Relationality in Transformers via Symmetry Reduction

    cs.LG 2026-02 conditional novelty 6.0 of 10

    Transformer attention and parameter optimization can be rewritten on symmetry-reduced relational variables (Gram matrices and invariant parameter composites), removing coordinate redundancies by construction.

  2. Reassessing the foundations of Metric-Affine Gravity

    gr-qc 2025-05 conditional novelty 6.0 of 10

    Applying the Dressing Field Method to Metric-Affine Gravity shows that after eliminating gauge translations, the resulting kinematics reduces to Cartan-geometric kinematics with residual GL(n) symmetry.

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