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Komar charge of N = 2 supergravity and its superspace generalization

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arxiv 2412.18510 v2 pith:45RAMSWU submitted 2024-12-24 hep-th gr-qc

classification hep-thgr-qc
keywords generalizedkomarsupergravitysuperspaceformkillingusedcalculation
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We find the defining equations for a Killing vector and its superpartner (called the generalized Killing spinor) and use them to construct the generalized Komar superform of minimal N=2, d=4 supergravity using the superspace formulation. The superspace procedure presented here can be used for the construction of generalized Komar forms in more general supergravity theories. We also present the (more cumbersome) calculation of the generalized Komar 2-form and of the on-shell closed 2-form used to prove the first law in the component formalism, as an independent confirmation of our main result.

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

  1. The Komar charge in presence of the Holst term and the gravitational Witten effect

    hep-th 2025-06 conditional novelty 6.0 of 10

    The Holst term shifts the Komar mass of Taub-NUT space by -αN, giving a gravitational analog of the Witten effect.

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