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

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

2008-06-18

arxiv.org/abs/0806.3070v2

Phys.Lett.B668:159-162,2008

Physics

High Energy Physics

High Energy Physics - Theory

10 pages

Scientific paper

10.1016/j.physletb.2008.08.026

Pure 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.

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