Covariant theory of asymptotic symmetries, conservation laws and central charges
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Publication:1597922
DOI10.1016/S0550-3213(02)00251-1zbMATH Open0995.81054arXivhep-th/0111246MaRDI QIDQ1597922
Author name not available (Why is that?)
Publication date: 3 June 2002
Published in: (Search for Journal in Brave)
Abstract: Under suitable assumptions on the boundary conditions, it is shown that there is a bijective correspondence between equivalence classes of asymptotic reducibility parameters and asymptotically conserved n-2 forms in the context of Lagrangian gauge theories. The asymptotic reducibility parameters can be interpreted as asymptotic Killing vector fields of the background, with asymptotic behaviour determined by a new dynamical condition. A universal formula for asymptotically conserved n-2 forms in terms of the reducibility parameters is derived. Sufficient conditions for finiteness of the charges built out of the asymptotically conserved n-2 forms and for the existence of a Lie algebra g among equivalence classes of asymptotic reducibility parameters are given. The representation of g in terms of the charges may be centrally extended. An explicit and covariant formula for the central charges is constructed. They are shown to be 2-cocycles on the Lie algebra g. The general considerations and formulas are applied to electrodynamics, Yang-Mills theory and Einstein gravity.
Full work available at URL: https://arxiv.org/abs/hep-th/0111246
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