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Hamiltonian derivation of dual gravitational charges

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arxiv 2007.07144 v3 pith:DXKU3AVV submitted 2020-07-14 hep-th gr-qc

classification hep-thgr-qc
keywords chargesdualordertermderivationhamiltonianactionalgebra
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We provide a Hamiltonian derivation of recently discovered dual BMS charges. In order to do so, we work in the first order formalism and add to the usual Palatini action, the Holst term, which does not contribute to the equations of motion. We give a method for finding the leading order integrable dual charges \`a la Wald-Zoupas and construct the corresponding charge algebra. We argue that in the presence of fermions, the relevant term that leads to dual charges is the topological Nieh-Yan term.

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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. 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.

  2. GGI lectures on boundary and asymptotic symmetries

    hep-th 2025-12 conditional novelty 4.0 of 10

    A lecture-note review of boundary and asymptotic symmetries that re-derives the BMS group as the asymptotic symmetry group of Minkowski spacetime alone and constructs an integral Hamiltonian generator for scalar-field...

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