Extended corner symmetry, charge bracket and Einstein’s equations

Journal of High Energy Physics

Simone Speziale¹  Roberto Oliveri²  Laurent Freidel³  Daniele Pranzetti⁴ 

[1] Aix Marseille Université, Université de Toulon, CNRS, CPT, UMR 7332, 13288, Marseille, France;CEICO, Institute of Physics of the Czech Academy of Sciences, Na Slovance 2, 182 21, Praha 8, Czech Republic;Perimeter Institute for Theoretical Physics, 31 Caroline Street North, N2L 2Y5, Waterloo, Ontario, Canada;Perimeter Institute for Theoretical Physics, 31 Caroline Street North, N2L 2Y5, Waterloo, Ontario, Canada;Università degli Studi di Udine, via Palladio 8, I-33100, Udine, Italy;

关键词: Space-Time Symmetries;    Classical Theories of Gravity;    Models of Quantum Gravity;   

DOI  :  10.1007/JHEP09(2021)083

来源: Springer

【 摘 要 】

We develop the covariant phase space formalism allowing for non-vanishing flux, anomalies, and field dependence in the vector field generators. We construct a charge bracket that generalizes the one introduced by Barnich and Troessaert and includes contributions from the Lagrangian and its anomaly. This bracket is uniquely determined by the choice of Lagrangian representative of the theory. We then extend the notion of corner symmetry algebra to include the surface translation symmetries and prove that the charge bracket provides a canonical representation of the extended corner symmetry algebra. This representation property is shown to be equivalent to the projection of the gravitational equations of motion on the corner, providing us with an encoding of the bulk dynamics in a locally holographic manner.

【 授权许可】

CC BY