Topologically Massive Gravity and the AdS/CFT Correspondence

By Kostas Skenderis, Marika Taylor, B. C. Rees. 2009

184 citations recorded by the source corpus.

We set up the AdS/CFT correspondence for topologically massive gravity (TMG) in three dimensions. The first step in this procedure is to determine the appropriate fall off conditions at infinity. These cannot be fixed a priori as they depend on the bulk theory under consideration and are derived by solving asymptotically the non-linear field equations. We discuss in detail the asymptotic structure of the field equations for TMG, showing that it contains leading and subleading logarithms, determine the map between bulk fields and CFT operators, obtain the appropriate counterterms needed for holographic renormalization and compute holographically one- and two-point functions at and away from the ``chiral point'' (μ = 1). The 2-point functions at the chiral point are those of a logarithmic CFT (LCFT) with cL = 0,cR = 3l/GN and b = −3l/GN, where b is a parameter characterizing different c = 0 LCFTs. The bulk correlators away from the chiral point (μ ≠ 1) smoothly limit to the LCFT ones as μ → 1. Away from the chiral point, the CFT contains a state of negative norm and the expectation value of the energy momentum tensor in that state is also negative, reflecting a corresponding bulk instability due to negative energy modes.

Subfields: Astronomy and Astrophysics, Nuclear and High Energy Physics, Statistical and Nonlinear Physics

View Paper: https://www.semanticscholar.org/paper/414b2357058102417bd2188293a613a138c153d2

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Citations in the corpus

Umbral Moonshine (2012, methodology): “We refer to [28, 29, 74, 75, 76, 77, 78, 79, 80, 81, 82, 83, 84, 85] for further discussions on the AdS/CFT correspondence and extremal CFT’s.”
Lifshitz holography (2015, background): “The additional boundary conditions associated with higher derivative equations of motion are associated with sources for (new) operators in dual field theory [158].”
Theoretical Aspects of Massive Gravity (2011, unknown): “For more on the subtleties, see [210, 211, 212, 213, 214].”
Holography for Schrödinger backgrounds (2010, methodology): “Applying the linearized holographic one point functions given in [10] to this background, we note that there is still a constant source for the dimension (3, 1) operator Xvv but: 〈Tuu〉 = − 1 6GN b(2), (2.”
Massive Gravity (2014, unknown): “[449] checked the 2-point correlators and Ref.”