Embeddings and Integrable Charges for Extended Corner Symmetry

Luca Ciambelli, Robert G. Leigh, Pin Chun Pai

Research output: Contribution to journalArticlepeer-review


We revisit the problem of extending the phase space of diffeomorphism-invariant theories to account for embeddings associated with the boundary of subregions. 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.

Original languageEnglish (US)
Article number171302
JournalPhysical review letters
Issue number17
StatePublished - Apr 29 2022

ASJC Scopus subject areas

  • General Physics and Astronomy


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