Chiral geometries of (2+1)-d AdS gravity

dc.creatorLowe, David A.
dc.creatorRoy, Shubho
dc.date2008-06-18
dc.date2008-06-18
dc.date.accessioned2026-07-07T11:51:48Z
dc.date.available2026-07-07T11:51:48Z
dc.descriptionPure gravity in (2+1)-dimensions with negative cosmological constant is classically equivalent Chern-Simons gauge theory with gauge group SO(2; 2), which may be realized on chiral and antichiral gauge connections. This paper looks at half-AdS geometries i.e. those with a trivial rightmoving gauge connection while the left-moving connection is a standard (Banados-Teitelboim- Zanelli) BTZ connection. These are shown to be related by diffeomorphism to a BTZ geometry with different mass and angular momentum. Generically this is over-spinning, leading to a naked closed timelike curves. Other closely related solutions are also studied. These results suggest that the measure of the Chern-Simons path integral cannot factorize in a chiral way, if it is to represent a sum over physically sensible states.
dc.description10 pages
dc.identifierhttps://arxiv.org/abs/0806.3070
dc.identifierhttp://arxiv.org/abs/0806.3070
dc.identifierPhys.Lett.B668:159-162,2008
dc.identifierdoi:10.1016/j.physletb.2008.08.026
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/204019
dc.subjectHigh Energy Physics - Theory
dc.titleChiral geometries of (2+1)-d AdS gravity
dc.typetext

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