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Holograms of Conformal Chern-Simons Gravity

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arxiv 1106.6299 v1 pith:LUQDUN4V submitted 2011-06-30 hep-th gr-qc

H. Afshar , B. Cvetkovic , S. Ertl , D. Grumiller , N. Johansson This is my paper · ORCID
classification hep-thgr-qc
keywords weylconformalfactorgravityasymptoticchern-simonsdependresults
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We show that conformal Chern-Simons gravity in three dimensions has various holographic descriptions. They depend on the boundary conditions on the conformal equivalence class and the Weyl factor, even when the former is restricted to asymptotic Anti-deSitter behavior. For constant or fixed Weyl factor our results agree with a suitable scaling limit of topologically massive gravity results. For varying Weyl factor we find an enhancement of the asymptotic symmetry group, the details of which depend on certain choices. We focus on a particular example where an affine u(1) algebra related to holomorphic Weyl rescalings shifts one of the central charges by 1. The Weyl factor then behaves as a free chiral boson in the dual conformal field theory.

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Cited by 2 Pith papers

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  1. Notes on su$(1,2)\oplus$u$(1)$ Chern-Simons theory and Torsional Newton-Cartan gravity

    hep-th 2025-05 conditional novelty 6.0 of 10

    The su(1,2)⊕u(1) Chern-Simons theory is torsional Newton-Cartan gravity whose 1/c expansion reproduces the extended z=2 Schrödinger gravity and whose asymptotic symmetry is the W_3^(2)⊕u(1) algebra.

  2. A note on one-parameter subgroups of SO(3,2)

    hep-th 2025-12 conditional novelty 5.0 of 10

    SO(3,2) one-parameter subgroups contain two new types, Id and V, with explicit coordinate transformations yielding new conformal gravity metrics.

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