Tuna Yildirim

A NEAR HORIZON CFT DUAL FOR KERR–NEWMAN AdS

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 AdS2 and dual to a one-dimensional quantum conformal field theory (CFT). The s-wave contribution of the resulting CFTs energy–momentum tensor together with the asymptotic symmetries, generate a centrally extended Virasoro algebra, whose central charge reproduces the Bekenstein–Hawking entropy via Cardys formula. Our derived central charge also agrees with the near extremal Kerr/CFT correspondence (Phys. Rev. D80, 124008 (2009)) in the appropriate limits. We also compute the Hawking temperature of the KNAdS black hole by coupling its Robinson and Wilczek two-dimensional analogue (RW2DA) to conformal matter.

Entropy and Temperature From Black-Hole/Near-Horizon-CFT Duality

We construct a two-dimensional CFT, in the form of a Liouville theory, in the near-horizon limit of four- and three-dimensional black holes. The near-horizon CFT assumes two-dimensional black hole solutions first introduced by Christensen and Fulling (1977 Phys. Rev. D 15 2088–104) and expanded to a greater class of black holes via Robinson and Wilczek (2005 Phys. Rev. Lett. 95 011303). The two-dimensional black holes admit a Diff(S1) subalgebra, which upon quantization in the horizon limit becomes Virasoro with calculable central charge. This charge and the lowest Virasoro eigen-mode reproduce the correct Bekenstein–Hawking entropy of the four- and three-dimensional black holes via the known Cardy formula (Blote et al 1986 Phys. Rev. Lett. 56 742; Cardy 1986 Nucl. Phys. B 270 186). Furthermore, the two-dimensional CFTs energy–momentum tensor is anomalous. However, in the horizon limit the energy–momentum tensor becomes holomorphic equaling the Hawking flux of the four- and three-dimensional black holes. This encoding of both entropy and temperature provides a uniformity in the calculation of black hole thermodynamic and statistical quantities for the non-local effective action approach.

On Quantum Microstates in the Near Extremal, Near Horizon Kerr Geometry

We study the thermodynamics of near horizon near extremal Kerr (NHNEK) geometry within the framework of

Chern-Simons Splitting of 2+1D Gauge Theories

AdS_2/CFT_1

Topologically Massive Yang-Mills Theory and Link Invariants

correspondence. We start by shifting the horizon of near horizon extremal Kerr (NHEK) geometry by a general finite mass. While this shift does not alter the geometry in that the resulting classical solution is still diffeomorphic to the NHEK solution, it does lead to a quantum theory different from that of NHEK. We obtain this quantum theory by means of a Robinson-Wilczek two-dimensional Kaluza-Klein reduction which enables us to introduce a finite regulator on the

Chern-Simons Splitting of 2+1D Pure Yang-Mills Theory at Large Distances

AdS_2

Near-Extremal Kerr AdS2 × S 2 Solution and Black-Hole/Near-Horizion-CFT Duality

boundary and compute the full asymptotic symmetry group of the two-dimensional quantum conformal field theory on the respective

Topologically Massive Yang-Mills Theory and Link Invariants (Thesis)

AdS_2

A non-Extremal Kerr-like AdS2xS2 Solution and Black-Hole/Near-Horizion-CFT Duality

boundary. The s-wave contribution of the energy-momentum-tensor of this conformal field theory, together with the asymptotic symmetries, generate a Virasoro algebra with a calculable center, which agrees with the standard Kerr/

Knot Theory and Topologically Massive Yang-Mills Theory

CFT