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Microscopics of Extremal Kerr from Spinning M5 Branes · Around

2010

Microscopics of Extremal Kerr from Spinning M5 Branes

Compère, Geoffrey, Song, Wei, Virmani, Amitabh

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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.

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