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arXiv · 1211.3679

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

Taeyoon Moon·Yun Soo Myung
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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 $\ln^{n-1}[ω\ell]$-correction to the Klein-Gordon mode.

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Taeyoon Moon, Yun Soo Myung. 2012-12-24. Rank-n logarithmic conformal field theory in the BTZ black hole. https://doi.org/10.1103/physrevd.86.124042

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