Rank-3 finite temperature logarithmic conformal field theory

Abstract

We construct a rank-3 finite temperature logarithmic conformal field theory (LCFT) starting from a higher-derivative scalar field model in the BTZ black hole background. Its zero temperature limit reduces to a rank-3 LCFT in the AdS${}_3$ background. For a tricritical generalized massive gravity, we read off the log-square quasinormal frequencies of graviton from the poles of the retarded Green's function in the momentum space. After using the truncation process, we find quasinormal frequencies from a unitary conformal field theory. Finally, employing the retarded Green's functions on the boundary, we compute the absorption cross sections of BTZ black hole which show feature of higher-order differential equations for scalars.

19 pages, no figure

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Cited by in corpus (5)

• Holographic applications of logarithmic conformal field theories
• Rank-n logarithmic conformal field theory in the BTZ black hole
• BRST quantization of a sixth-order derivative scalar field theory
• Aging Logarithmic Galilean Field Theories
• Cosmological three-coupled scalar theory for the dS/LCFT correspondence