Recognition: unknown
Topologically Massive Gravity and the AdS/CFT Correspondence
read the original abstract
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' (mu = 1). The 2-point functions at the chiral point are those of a logarithmic CFT (LCFT) with c_L = 0, c_R = 3l/G_N and b = -3l/G_N, where b is a parameter characterizing different c = 0 LCFTs. The bulk correlators away from the chiral point (mu \neq 1) smoothly limit to the LCFT ones as mu \to 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.
This paper has not been read by Pith yet.
Forward citations
Cited by 4 Pith papers
-
From monodromy to $SL(2,\mathbb{R})$: reconstructing the logarithmic sector of chiral TMG from virasoro flow
The logarithmic graviton module in critical chiral TMG is reconstructed as an indecomposable representation from monodromy-compatible Virasoro flow, with Jordan structure identified as unipotent radial monodromy and s...
-
When AdS$_3$ Grows Hair: Boson Stars, Black Holes, and Double-Trace Deformations
In AdS3 gravity with double-trace scalar boundary conditions, zero-frequency boson stars are the true ground state below the instability threshold, and hairy black holes carry higher entropy than BTZ at fixed mass and...
-
Virasoro flow, monodromy, and indecomposable structures in critical AdS$_3$ topologically massive gravity
At the chiral point of critical AdS3 TMG, L0 = h1 + N (N nilpotent) unifies real and imaginary flows with monodromy through identical linear and logarithmic mixing, characterizing logarithmic modes as generalized eigenstates.
-
Butterflies in $\textrm{T}\overline{\textrm{T}}$ deformed anomalous CFT$_2$
In TTbar-deformed anomalous CFT2 the chaos bound stays saturated while butterfly velocity depends nontrivially on deformation strength and anomaly, with a Hagedorn regime where the chaotic response turns complex.
discussion (0)
Sign in with ORCID, Apple, or X to comment. Anyone can read and Pith papers without signing in.