# Kerr/CFT Correspondence

@inproceedings{Guica2008KerrCFTC, title={Kerr/CFT Correspondence}, author={Monica Guica and Thomas Hartman and Wei Song and Andrew Strominger}, year={2008} }

Quantum gravity in the region very near the horizon of an extreme Kerr black hole (whose angular momentum and mass are related by J=GM{sup 2}) is considered. It is shown that consistent boundary conditions exist, for which the asymptotic symmetry generators form one copy of the Virasoro algebra with central charge c{sub L}=(12J/({Dirac_h}/2{pi})). This implies that the near-horizon quantum states can be identified with those of (a chiral half of) a two-dimensional conformal field theory (CFT…

## 841 Citations

### The Kerr/CFT Correspondence and String Theory

- Physics
- 2009

The Kerr/CFT correspondence is a holographic duality between a two dimensional chiral conformal field theory (CFT) and the very near horizon limit of an extremal black hole, which includes an AdS{sub…

### A NEAR HORIZON CFT DUAL FOR KERR–NEWMAN AdS

- Physics
- 2011

We show that the near horizon regime of a Kerr–Newman AdS (KNAdS) black hole, given by its two-dimensional analogue a la Robinson and Wilczek (Phys. Rev. Lett.95, 011303 (2005)), is asymptotically…

### New chiral gravity

- MathematicsPhysical Review D
- 2020

The phase space of three-dimensional gravity with Compere-Song-Strominger (CSS) boundary conditions is endowed with asymptotic symmetries consisting in the semi-direct product of a Virasoro and a…

### A Tomimatsu-Sato/CFT correspondence

- Physics
- 2010

We analyze the = 2 Tomimatsu-Sato spacetime in the context of the proposed Kerr/CFT correspondence. This 4-dimensional vacuum spacetime is asymptotically at and has a well-dened ADM mass and angular…

### The Kerr/CFT correspondence and its extensions: a comprehensive review

- Physics
- 2012

We present a first-principles derivation of the main results of the Kerr/CFT correspondence and its extensions using only tools from gravity and quantum field theory. Firstly, we review properties of…

### Extremal Black Hole/CFT Correspondence in (Guaged) Supergravities

- Physics
- 2009

We extend the investigation of the recently proposed Kerr/conformal field theory correspondence to large classes of rotating black hole solutions in gauged and ungauged supergravities. The…

### The Kerr/CFT Correspondence and its Extensions

- PhysicsLiving reviews in relativity
- 2012

We present a first-principles derivation of the main results of the Kerr/CFT correspondence and its extensions using only tools from gravity and quantum field theory, filling a few gaps in the…

### Charged quantum fields in AdS$_2$

- PhysicsSciPost Physics
- 2019

We consider quantum field theory near the horizon of an extreme Kerr
black hole. In this limit, the dynamics is well approximated by a tower
of electrically charged fields propagating in an…

### On the Near-Horizon Canonical Quantum Microstates from AdS2/CFT1 and Conformal Weyl Gravity

- Physics
- 2017

We compute the full asymptotic symmetry group of black holes belonging to the same equivalence class of solutions within the conformal Weyl gravity formalism. We do this within an A d S 2 / C F T 1…

### Extreme Kerr black hole microstates with horizon fluff

- MathematicsPhysical Review D
- 2018

We present a one-function family of solutions to 4D vacuum Einstein equations. While all diffeomorphic to the same extremal Kerr black hole, they are labeled by well-defined conserved charges and are…

## References

SHOWING 1-10 OF 68 REFERENCES

### Extreme Kerr throat geometry: A vacuum analog of AdS 2 × S 2

- Mathematics, Physics
- 1999

We study the near-horizon limit of a four-dimensional extreme rotating black hole. The limiting metric is a completely nonsingular vacuum solution, with an enhanced symmetry group…

### Universal low-energy dynamics for rotating black holes

- Physics
- 1997

Fundamental string theory has been used to show that low-energy excitations of certain black holes are described by a two-dimensional conformal field theory. This picture has been found to be…

### Wrapped M2/M5 duality

- Physics
- 2009

A microscopic accounting of the entropy of a generic 5D supersymmetric rotating black hole, arising from wrapped M2-branes in Calabi-Yau compactified M-theory, is an outstanding unsolved problem. In…

### Renormalized stress tensor in Kerr space-time: General results

- Physics
- 2000

We derive constraints on the form of the renormalized stress tensor for states on Kerr space-time based on general physical principles: symmetry, the conservation equations, the trace anomaly and…

### Quantum critical transport, duality, and M-theory

- Physics
- 2007

We consider charge transport properties of 2+1 dimensional conformal field theories at non-zero temperature. For theories with only Abelian U(1) charges, we describe the action of particle-vortex…

### AdS3 black holes and a stringy exclusion principle

- Physics
- 1998

The duality relating near-horizon microstates of black holes obtained as orbifolds of a subset of AdS3 to the states of a conformal field theory is analyzed in detail. The SL(2,R)L?SL(2,R)R invariant…

### The Large-N Limit of Superconformal Field Theories and Supergravity

- Physics, Mathematics
- 1997

We show that the large-N limits of certainconformal field theories in various dimensions includein their Hilbert space a sector describing supergravityon the product of anti-de Sitter spacetimes,…

### Renormalized stress-energy tensor near the horizon of a slowly evolving, rotating black hole.

- PhysicsPhysical review. D, Particles and fields
- 1989

The renormalized expectation value of the stress-energy tensor of a quantum field in an arbitrary quantum state near the future horizon of a rotating (Kerr) black hole is derived in two very different ways: one makes use of traditional techniques of quantum field theory in curved spacetime, augmented by a variant of the "η formalism" for handling superradiant modes.

### STATISTICAL ENTROPY OF FOUR-DIMENSIONAL ROTATING BLACK HOLES FROM NEAR-HORIZON GEOMETRY

- Physics
- 1999

We show that a class of four-dimensional rotating black holes allow five-dimensional embeddings as black rotating strings. Their near-horizon geometry factorizes locally as a product of the…

### Semi-classical central charge in topologically massive gravity

- Mathematics
- 2008

It is shown that the warped black hole geometries discussed recently in arXiv:0807.3040 (Anninos et al 2008) admit an algebra of asymptotic symmetries isomorphic to the semi-direct product of a…