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Holonomies, anomalies and the Fefferman-Graham ambiguity in AdS3 gravity

par Rooman, Marianne ;Spindel, Philippe
Référence Nuclear physics. B, 594, 1-2, page (329-353)
Publication Publié, 2001-01

Article révisé par les pairs

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Résumé :

Using the Chern-Simons 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. © 2001 Elsevier Science B.V.