Microscopics of Extremal Kerr from Spinning M5 Branes

TL;DR

This paper explores the connection between spinning M5 branes and extremal Kerr black holes through a decoupling limit, providing insights into the dual conformal field theory and its deformations.

Contribution

It introduces a decoupling limit interpolating between AdS_3  S^2 and the extremal Kerr near-horizon, linking M5 branes to Kerr via a deformed MSW CFT.

Findings

Derived conformal weights of dual operators.

Provided evidence for a CFT dual to extremal Kerr.

Connected spinning M5 branes to Kerr black hole physics.

Abstract

We show that the spinning magnetic one-brane in minimal five-dimensional supergravity admits a decoupling limit that interpolates smoothly between a self-dual null orbifold of AdS_3 \times S^2 and the near-horizon limit of the extremal Kerr black hole times a circle. We use this interpolating solution to understand the field theory dual to spinning M5 branes as a deformation of the Discrete Light Cone Quantized (DLCQ) Maldacena-Stominger-Witten (MSW) CFT. In particular, the conformal weights of the operators dual to the deformation around AdS_3 \times S^2 are calculated. We present pieces of evidence showing that a CFT dual to the four-dimensional extremal Kerr can be obtained from the deformed MSW CFT.