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Embeddings and Integrable Charges for Extended Corner Symmetry

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arxiv 2111.13181 v2 pith:6EL7MH5D submitted 2021-11-25 hep-th gr-qc

Luca Ciambelli , Robert G. Leigh , Pin-Chun Pai This is my paper · ORCID
classification hep-thgr-qc
keywords embeddingsassociatedchargescornerextendedspaceextensiongive
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We revisit the problem of extending the phase space of diffeomorphism-invariant theories to account for embeddings associated with the boundary of sub-regions. We do so by emphasizing the importance of a careful treatment of embeddings in all aspects of the covariant phase space formalism. In so doing we introduce a new notion of the extension of field space associated with the embeddings which has the important feature that the Noether charges associated with all extended corner symmetries are in fact integrable, but not necessarily conserved. We give an intuitive understanding of this description. We then show that the charges give a representation of the extended corner symmetry via the Poisson bracket, without central extension.

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Cited by 6 Pith papers

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