{"arxiv_id":"2603.14439","incoming":{"papers":0,"sentences":0,"groups":[],"unlabelled_sentences":0},"outgoing":{"papers":55,"sentences":154,"groups":[{"kind":"comparison","label":"Compares with","papers":2,"sentences":4,"quotes":[{"arxiv_id":"2104.12881","title":"Extended corner symmetry, charge bracket and Einstein's equations","url":"/paper/2104.12881","section":"Surface charge algebra","sentence":"Combining [ref] and [ref] we obtain [equation] The central extension is therefore [equation] A similar result has been also obtained in [ref] .","intent_p":0.82,"contests_p":null},{"arxiv_id":"2111.14747","title":"A canonical bracket for open gravitational system","url":"/paper/2111.14747","section":"Surface charge algebra","sentence":"Combining [ref] and [ref] we obtain [equation] The central extension is therefore [equation] A similar result has been also obtained in [ref] .","intent_p":0.82,"contests_p":null}]},{"kind":"supports_this_paper","label":"Cites as support","papers":11,"sentences":11,"quotes":[{"arxiv_id":"2412.14992","title":"Field-dependent diffeomorphisms and the transformation of surface charges between gauges","url":"/paper/2412.14992","section":"Criteria for Charge Integrability","sentence":"Nevertheless, in certain two- and three-dimensional gravitational theories that do not have propagating bulk modes (gravitational waves), the surface charges are not integrable by the WZ criterion [ref] .","intent_p":0.96,"contests_p":null},{"arxiv_id":"2401.09540","title":"The partial Bondi gauge: Gauge fixings and asymptotic charges","url":"/paper/2401.09540","section":"Criteria for Charge Integrability","sentence":"Nevertheless, in certain two- and three-dimensional gravitational theories that do not have propagating bulk modes (gravitational waves), the surface charges are not integrable by the WZ criterion [ref] .","intent_p":0.96,"contests_p":null},{"arxiv_id":"2407.00525","title":"Darboux Soft Hair in 3D Asymptotically Flat Spacetimes","url":"/paper/2407.00525","section":"Criteria for Charge Integrability","sentence":"Nevertheless, in certain two- and three-dimensional gravitational theories that do not have propagating bulk modes (gravitational waves), the surface charges are not integrable by the WZ criterion [ref] .","intent_p":0.96,"contests_p":null},{"arxiv_id":"2007.12759","title":"Symmetries at Null Boundaries: Two and Three Dimensional Gravity Cases","url":"/paper/2007.12759","section":"Criteria for Charge Integrability","sentence":"Nevertheless, in certain two- and three-dimensional gravitational theories that do not have propagating bulk modes (gravitational waves), the surface charges are not integrable by the WZ criterion [ref] .","intent_p":0.96,"contests_p":null},{"arxiv_id":"2012.03961","title":"Conservation and Integrability in Lower-Dimensional Gravity","url":"/paper/2012.03961","section":"Criteria for Charge Integrability","sentence":"Nevertheless, in certain two- and three-dimensional gravitational theories that do not have propagating bulk modes (gravitational waves), the surface charges are not integrable by the WZ criterion [ref] .","intent_p":0.96,"contests_p":null}]},{"kind":"background","label":"Cites as background","papers":24,"sentences":25,"quotes":[{"arxiv_id":"gr-qc/9911095","title":"A General Definition of \"Conserved Quantities\" in General Relativity and Other Theories of Gravity","url":"/paper/gr-qc/9911095","section":"Criteria for Charge Integrability","sentence":"This question has a classic answer within the covariant phase space formalism [ref] .","intent_p":0.92,"contests_p":null},{"arxiv_id":"2202.12129","title":"Symmetries at Causal Boundaries in 2D and 3D Gravity","url":"/paper/2202.12129","section":"Examples","sentence":"These systems have been extensively studied in the literature, in particular see [ref] .","intent_p":0.97,"contests_p":null},{"arxiv_id":"2110.04218","title":"Null boundary phase space: slicings, news and memory","url":"/paper/2110.04218","section":"Examples","sentence":"These systems have been extensively studied in the literature, in particular see [ref] .","intent_p":0.97,"contests_p":null},{"arxiv_id":"2009.10739","title":"Anomalies in gravitational charge algebras of null boundaries and black hole entropy","url":"/paper/2009.10739","section":"Barnich–Troessaert bracket","sentence":"See [ref] for further discussion and its implications for the charge algebra; see also the notion of anomaly for non-covariant quantities on the SPS [ref] .]","intent_p":0.84,"contests_p":null},{"arxiv_id":"2407.15994","title":"Charges in General Relativity and Black Hole Thermodynamics","url":"/paper/2407.15994","section":"Barnich–Troessaert bracket","sentence":"See [ref] for further discussion and its implications for the charge algebra; see also the notion of anomaly for non-covariant quantities on the SPS [ref] .]","intent_p":0.84,"contests_p":null}]}],"unlabelled_sentences":114},"claims":[],"thresholds":{"intent_p":0.8,"supports_p":0.95,"contests_p":0.7},"method":"Citing sentences come from each paper's LaTeX source; every \\cite marks the sentence and the works it cites. 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