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Paper   IPM / Particles / 12663
School of Particles and Accelerator
  Title:   Lobachevsky holography in conformal Chern-Simons gravity
  Author(s): 
1.  Mario Bertin
2.  Sabine Ertl
3.  Hossein Ghorbani
4.  Daniel Grumiller
5.  Niklas Johansson
6.  Dmitri Vassilevich
  Status:   Published
  Journal: JHEP
  No.:  015
  Vol.:  06
  Year:  2013
  Supported by:  IPM
  Abstract:
We propose Lobachevsky boundary conditions that lead to asymptotically H^2xR solutions. As an example we check their consistency in conformal Chern-Simons gravity. The canonical charges are quadratic in the fields, but nonetheless integrable, conserved and finite. The asymptotic symmetry algebra consists of one copy of the Virasoro algebra with central charge c=24k, where k is the Chern-Simons level, and an affine u(1). We find also regular non-perturbative states and show that none of them corresponds to black hole solutions. We attempt to calculate the one-loop partition function, find a remarkable separation between bulk and boundary modes, but conclude that the one-loop partition function is ill-defined due to an infinite degeneracy. We comment on the most likely resolution of this degeneracy

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