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Surface Charges Toolkit for Gravity

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arxiv 1911.07264 v2 pith:LN347COI submitted 2019-11-17 hep-th gr-qc

classification hep-thgr-qc
keywords gravitysurfacetheoriescatalogchargechargesformulaslanguage
verification ladder T0 review T1 audit T2 compute T3 formal
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These notes provide a detailed catalog of surface charge formulas for different classes of gravity theories. The present catalog reviews and extends the existing literature on the topic. Part of the focus is on reviewing the method to compute quasi-local surface charges for gauge theories in order to clarify conceptual issues and their range of applicability. Many surface charge formulas for gravity theories are expressed in metric, tetrads-connection, Chern-Simons connection, and even BF variables. For most of them, the language of differential forms is exploited and contrasted with the more popular metric components language. The gravity theory is coupled with matter fields as scalar, Maxwell, Skyrme, Yang-Mills, and spinors. Furthermore, three examples with ready-to-download notebook codes, show the method in full action. Several new results are highlighted through the notes.

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  1. Gauge Symmetries, Exact Symmetries and Conserved Charges in Minimal Massive Gravity

    hep-th 2025-07 conditional novelty 6.0 of 10

    Minimal Massive Gravity has three gauge symmetries, and a newly constructed transformation generates exact symmetries and a conserved charge in a restricted parameter limit.

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