The CFT dual of AdS gravity with torsion

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dc.creatorKlemm, Dietmar
dc.creatorTagliabue, Giovanni
dc.date2007-05-23
dc.date2007-07-30
dc.date.accessioned2026-07-07T11:16:18Z
dc.date.available2026-07-07T11:16:18Z
dc.descriptionWe consider the Mielke-Baekler model of three-dimensional AdS gravity with torsion, which has gravitational and translational Chern-Simons terms in addition to the usual Einstein-Hilbert action with cosmological constant. It is shown that the topological nature of the model leads to a finite Fefferman-Graham expansion. We derive the holographic stress tensor and the associated Ward identities and show that, due to the asymmetry of the left- and right-moving central charges, a Lorentz anomaly appears in the dual conformal field theory. Both the consistent and the covariant Weyl and Lorentz anomaly are determined, and the Wess-Zumino consistency conditions for the former are verified. Moreover we consider the most general solution with flat boundary geometry, which describes left-and right-moving gravitational waves on AdS_3 with torsion, and shew that in this case the holographic energy-momentum tensor is given by the wave profiles. The anomalous transformation laws of the wave profiles under diffeomorphisms preserving the asymptotic form of the bulk solution yield the central charges of the dual CFT and confirm the results that appeared earlier on in the literature. We finally comment on some points concerning the microstate counting for the Riemann-Cartan black hole.
dc.description17 pages, uses JHEP3.cls. References added, minor errors corrected
dc.identifierhttps://arxiv.org/abs/0705.3320
dc.identifierhttp://arxiv.org/abs/0705.3320
dc.identifierClass.Quant.Grav.25:035011,2008
dc.identifierdoi:10.1088/0264-9381/25/3/035011
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/192627
dc.subjectHigh Energy Physics - Theory
dc.subjectGeneral Relativity and Quantum Cosmology
dc.titleThe CFT dual of AdS gravity with torsion
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