Counterterms and dual holographic anomalies in CS gravity
Author(s) -
Máximo Bañados,
Rodrigo Olea,
Stefan Theisen
Publication year - 2005
Publication title -
journal of high energy physics
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.998
H-Index - 261
eISSN - 1126-6708
pISSN - 1029-8479
DOI - 10.1088/1126-6708/2005/10/067
Subject(s) - physics , mathematical physics , spacetime , holography , conformal anomaly , tensor (intrinsic definition) , stress–energy tensor , gravitation , action (physics) , anomaly (physics) , classical mechanics , theoretical physics , exact solutions in general relativity , quantum mechanics , geometry , mathematics , conformal map , conformal symmetry
The holographic Weyl anomaly associated to Chern-Simons gravity in 2n+1dimensions is proportional to the Euler term in 2n dimensions, with nocontributions from the Weyl tensor. We compute the holographic energy-momentumtensor associated to Chern-Simons gravity directly from the action, in anarbitrary odd-dimensional spacetime. We show, in particular, that thecounterterms rendering the action finite contain only terms of the Lovelocktype.Comment: 10 pages, no figure
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