Taeyoon Moon, Yun Soo Myung
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 around the BTZ black hole. Furthermore, the absorption cross section of $A_n$ is calculated from the retarded Green's function, which indicates a feature of $\ln^{n-1}[\omega \ell]$-correction to the Klein-Gordon mode. This shows a powerfulness of the AdS/CFT correspondence for obtaining two relevant quantities of quasinormal modes and absorption cross section of $A_n$ without solving the $2n$-th order linearized equation directly.
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http://arxiv.org/abs/1211.3679
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