Abstract
The Kerr/CFT correspondence provides a holographic description of spinning black holes that exist in our universe and the notion of hidden conformal symmetry allows for a formulation of this correspondence that is away from extremality. In this study, we examined how hidden conformal symmetry is manifest when we consider dynamics beyond the Klein–Gordon equation through studying the analytic structure of the higher derivative equations of the motion of a massless probe scalar field on a Kerr background, using the monodromy method. Since such higher derivative dynamics appear in known examples of holographic AdS/logCFT correspondences, we investigated whether or not a Kerr/logCFT correspondence could be possible.
Highlights
The Kerr/CFT correspondence provides a holographic description of spinning black holes that exist in our universe and the notion of hidden conformal symmetry allows for a formulation of this correspondence that is away from extremality
To study how hidden conformal symmetry is manifest in a theory with higher derivative dynamics, we considered the following action for a massless scalar field on a Kerr black hole background: Z
The goals of this article were to provide a case study of how hidden conformal symmetry is manifest when we change the dynamics on a given background and, in particular, whether we could use variations of the Kerr/CFT correspondence to work toward diagnosing a new instance of a logarithmic conformal field theories (logCFTs) correspondence
Summary
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