Gravitational Chern-Simons and the adiabatic limit

Details Gravitational Chern-Simons and the adiabatic limit Gravitational Chern-Simons and the adiabatic limit

2010-04-16

arxiv.org/abs/1004.2909v2

Physics

Mathematical Physics

17 pages

Scientific paper

We compute the gravitational Chern-Simons term explicitly for an adiabatic family of metrics using standard methods in general relativity. We use the fact that our base three-manifold is a quasi-regular K-contact manifold heavily in this computation. Our key observation is that this geometric assumption corresponds exactly to a Kaluza-Klein Ansatz for the metric tensor on our three manifold, which allows us to translate our problem into the language of general relativity. Similar computations have been performed in a paper of Guralnik, Iorio, Jackiw and Pi (2003), although not in the adiabatic context.

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