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Hamiltonian derivation of dual gravitational charges

High Energy Physics - Theory 2020-09-21 v3 General Relativity and Quantum Cosmology

Abstract

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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Cite

@article{arxiv.2007.07144,
  title  = {Hamiltonian derivation of dual gravitational charges},
  author = {Hadi Godazgar and Mahdi Godazgar and Malcolm J. Perry},
  journal= {arXiv preprint arXiv:2007.07144},
  year   = {2020}
}

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39 pages