Hidden Conformal Symmetry in Higher Derivative Dynamics

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 away from extremality. In this work we study how hidden conformal symmetry is manifest when we consider dynamics beyond the Klein-Gordon equation, through studying the analytic structure of higher derivative equations of 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 investigate whether or not a Kerr/logCFT correspondence might be possible.