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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

Unconventional Supersymmetry via the Dressing Field Method

classification hep-th gr-qc
keywords fieldansatzsupersymmetryunconventionaldressingfieldsgaugematter
verification ladder T0 review T1 audit T2 compute T3 formal T4 reserved
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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.

  1. Relational bundle geometric formulation of non-relativistic quantum mechanics

    quant-ph 2025-01 unverdicted novelty 7.0

    Bundle geometric formulation of non-relativistic QM with relational reformulation via dressing field method allowing any particle as reference frame.

  2. Toward Manifest Relationality in Transformers via Symmetry Reduction

    cs.LG 2026-02 conditional novelty 6.0

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