Hidden Conformal Symmetry in Higher Derivative Dynamics

TL;DR

This paper explores how hidden conformal symmetry manifests in higher derivative scalar field dynamics around Kerr black holes, potentially extending holographic dualities beyond extremality and standard equations.

Contribution

It analyzes the analytic structure of higher derivative equations of motion in Kerr backgrounds, linking them to hidden conformal symmetry and holographic correspondences.

Findings

Higher derivative dynamics exhibit hidden conformal symmetry.

Potential extension of Kerr/CFT to Kerr/logCFT correspondence.

Insights into non-extremal holographic dualities.

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.