Topologically massive gravity on AdS spacetimes
arXiv:0901.2141 · doi:10.1088/1126-6708/2009/06/043
Abstract
We study the topologically massive gravity with a negative cosmological constant on AdS spacetimes by making use of dimensional reduction. For a constant dilaton, this two-dimensional model admits three AdS vacuum solutions, which are related to AdS and warped AdS with an identification upon uplifting three dimensions. We carry out the perturbation analysis around these backgrounds to find what is a physically propagating field. It turns out that a mode of is merely a redundant field of dilaton in the absence of Chern-Simons terms, while it becomes a massive scalar in the presence of Chern-Simons terms. This shows clearly that the proper number of physically propagating degrees of freedom is one for the topologically massive gravity. Moreover, at the points of , becomes a massless scalar which implies that there is no physically propagating degrees of freedom at the chiral point.
24 pages, 3 figures, added appendix, version to appear in JHEP
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