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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

Off-shell supersymmetry via manifest invariance

classification hep-th gr-qc
keywords fieldsupersymmetricsupersymmetrytheoryachievedalgebraapplicationautomatically
verification ladder T0 review T1 audit T2 compute T3 formal T4 reserved
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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 1 Pith paper

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  1. 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.