Finite charges from the bulk action
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Publication:6074191
DOI10.1007/JHEP08(2023)154arXiv2306.16451MaRDI QIDQ6074191
Author name not available (Why is that?)
Publication date: 12 October 2023
Published in: (Search for Journal in Brave)
Abstract: Constructing charges in the covariant phase formalism often leads to formally divergent expressions, even when the fields satisfy physically acceptable fall-off conditions. These expressions can be rendered finite by corner ambiguities in the definition of the presymplectic potential, which in some cases may be motivated by arguments involving boundary Lagrangians. We show that the necessary corner terms are already present in the variation of the bulk action and can be extracted in a straightforward way. Once these corner terms are included in the presymplectic potential, charges derived from an associated codimension-2 form are automatically finite. We illustrate the procedure with examples in two and three dimensions, working in Bondi gauge and obtaining integrable charges. As a by-product, actions are derived for these theories that admit a well-defined variational principle when the fields satisfy boundary conditions on a timelike surface with corners. An interesting feature of our analysis is that the fields are not required to be fully on-shell.
Full work available at URL: https://arxiv.org/abs/2306.16451
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