Holonomies, anomalies and the Fefferman-Graham ambiguity in AdS\(_3\) gravity
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Publication:1591693
DOI10.1016/S0550-3213(00)00636-2zbMATH Open0971.83505arXivhep-th/0008147WikidataQ126351843 ScholiaQ126351843MaRDI QIDQ1591693
Author name not available (Why is that?)
Publication date: 8 January 2001
Published in: (Search for Journal in Brave)
Abstract: Using the Chern-Simon formulation of (2+1) gravity, we derive, for the general asymptotic metrics given by the Fefferman-Graham-Lee theorems, the emergence of the Liouville mode associated to the boundary degrees of freedom of (2+1) dimensional anti de Sitter geometries. Holonomies are described through multi-valued gauge and Liouville fields and are found to algebraically couple the fields defined on the disconnected components of spatial infinity. In the case of flat boundary metrics, explicit expressions are obtained for the fields and holonomies. We also show the link between the variation under diffeomorphisms of the Einstein theory of gravitation and the Weyl anomaly of the conformal theory at infinity.
Full work available at URL: https://arxiv.org/abs/hep-th/0008147
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