Physics – High Energy Physics – High Energy Physics - Theory
Scientific paper
2008-03-27
Class.Quant.Grav.26:075008,2009
Physics
High Energy Physics
High Energy Physics - Theory
36 pages, 1 figure. v2: Expanded; exhibits localized normalizable wave packets and exact chiral pp-wave solutions. v3: Added r
Scientific paper
10.1088/0264-9381/26/7/075008
We study topologically massive (2+1)-dimensional gravity with a negative cosmological constant. The masses of the linearized curvature excitations about AdS_3 backgrounds are not only shifted from their flat background values but, more surprisingly, split according to chirality. For all finite values of the topological mass, we find a single bulk degree of freedom with positive energy, and exhibit a complete set of normalizable, finite-energy wave packet solutions. This model can also be written as a sum of two higher-derivative SL(2,R) Chern--Simons theories, weighted by the central charges of the boundary conformal field theory. At two particular "critical" values of the couplings, one of these central charges vanishes, and linearized topologically massive gravity becomes equivalent to topologically massive electromagnetism; however, the physics of the bulk wave packets remains unaltered here.
Carlip Steven
Deser Stanley
Waldron Andrew
Wise Derek K.
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