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Hamiltonian derivation of dual gravitational charges

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Godazgar,  Hadi
Quantum Gravity & Unified Theories, AEI-Golm, MPI for Gravitational Physics, Max Planck Society;

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Citation

Godazgar, H., Godazgar, M., & Perry, M. J. (2020). Hamiltonian derivation of dual gravitational charges. Journal of High Energy Physics, 2020(9): 84. doi:10.1007/JHEP09(2020)084.


Cite as: https://hdl.handle.net/21.11116/0000-0006-CDFA-A
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.