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Power to Integral Forms

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arxiv 2105.09196 v1 pith:JANCQVQJ submitted 2021-05-19 hep-th

classification hep-th
keywords formsintegralframeworksupergravityactionapplicationberezin-lebesgueberezinian
verification ladder T0 review T1 audit T2 compute T3 formal
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A novel reformulation of D=4, N=1 supergravity action in the language of integral forms is given. We illustrate the construction of the Berezinian in the supergeometric framework, providing a useful dictionary between mathematics and physics. We present a unified framework for Berezin-Lebesgue integrals for functions and for integral forms. As an application, we discuss Volkov-Akulov theory and its coupling to supergravity from this new perspective.

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Cited by 1 Pith paper

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  1. Superform Approach to Equivariant Localization in Supergravity

    hep-th 2026-05 unverdicted novelty 7.0 of 10

    Closed superforms in superspace generate equivariantly closed polyforms for localization in off-shell 4d N=2 conformal supergravity, applied to vector, linear, chiral, and BF multiplets.

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