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Off-shell supersymmetry via manifest invariance

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arxiv 2504.06392 v2 pith:YETIMPC7 submitted 2025-04-08 hep-th gr-qc

J. François , L. Ravera This is my paper · ORCID
classification hep-thgr-qc
keywords fieldsupersymmetricsupersymmetrytheoryachievedalgebraapplicationautomatically
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A fundamental challenge in supersymmetric field theory is that supersymmetry transformations on field variables generally form an algebra only on-shell, i.e. upon imposing the field equations. We show that this issue is defused in a manifestly relational - and thus automatically invariant - formulation of supersymmetric field theory, achieved through the application of the Dressing Field Method of symmetry reduction, a 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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