Microscopics of Extremal Kerr from Spinning M5 Branes

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.

5 pages

References in corpus (4)

• Near-horizon symmetries of extremal black holes
• Holographic Duals of Kaluza-Klein Black Holes
• Stationary black holes and attractor mechanism
• Microscopic Realization of the Kerr/CFT Correspondence

Cited by in corpus (26)

• Cargese Lectures on the Kerr/CFT Correspondence
• Kerr/CFT, dipole theories and nonrelativistic CFTs
• Warped AdS3/Dipole-CFT Duality
• Strings on warped AdS${}_3$ via $T\bar{J}$ deformations
• The Kerr/CFT correspondence and its extensions: a comprehensive review
• Subtracted Geometry From Harrison Transformations
• Holographic renormalization for irrelevant operators and multi-trace counterterms
• Near Horizon Limits of Massless BTZ and Their CFT Duals
• A note on the complex SYK model and warped CFTs
• Chiral Liouville Gravity
• Logarithmic Corrections to Kerr Thermodynamics
• Emergent IR dual 2d CFTs in charged AdS5 black holes
• Heating up holography for single-trace $J\bar{T}$ deformations
• Timelike U-dualities in Generalised Geometry
• Extremal black holes, Holography & Coarse graining
• Near-Extremal Vanishing Horizon AdS5 Black Holes and Their CFT Duals
• General black holes, untwisted
• D-brane Construction of the 5D NHEK Dual
• Conformal weights in the Kerr/CFT correspondence
• The Kerr-Newman/CFTs Correspondence
• CFT Duals of Black Rings With Higher Derivative Terms
• Echoes in the Kerr/CFT correspondence
• R**2 correction to BMPV black hole entropy from Kerr/CFT correspondence
• Attractor horizons in six-dimensional type IIB supergravity
• Kerr/CFT correspondence in a 4D extremal rotating regular black hole with a non-linear magnetic monopole
• SUSY Enhancements in (0,4) Deformations of AdS_3/CFT_2