Rank-n logarithmic conformal field theory in the BTZ black hole

Abstract

We construct the rank-$n$ finite temperature logarithmic conformal field theory (LCFT) starting from the $n$-coupled scalar field theory in the BTZ black hole background. Its zero temperature limit reduces to a rank-$n$ LCFT in the AdS${}_3$ background whose gravity dual is a polycritical gravity. We compute all two-point functions of a rank-$n$ finite temperature LCFT. Using the retarded Green's functions on the boundary, we obtain quasinormal modes of scalar $A_n$ which satisfies the $2n$-th order linearized equation. Furthermore, the absorption cross section of $A_n$ indicates a feature of ${\ln }^{n-1}[\omega \ell ]$-correction to the Klein-Gordon mode.

4 pages, no figure, published version

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• Critical Points of D-Dimensional Extended Gravities
• Modes of Log Gravity
• A Higher-Derivative Lee-Wick Standard Model
• Ghosts of Critical Gravity
• Three-Dimensional Tricritical Gravity
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Cited by in corpus (6)

• Dilatonic BTZ black holes with power-law field
• Geometrical method for thermal instability of nonlinearly charged BTZ Black Holes
• Holographic applications of logarithmic conformal field theories
• (2+1)-dimensional solutions in $F(R)$ gravity
• Simulation of geodesic trajectory of charged BTZ black holes in massive gravity
• Quantization of n coupled scalar field theory