A NEAR HORIZON CFT DUAL FOR KERR–NEWMAN AdS

Abstract

We show that the near horizon regime of a Kerr–Newman AdS (KNAdS) black hole, given by its two-dimensional analogue a là 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 CFT's energy–momentum tensor together with the asymptotic symmetries, generate a centrally extended Virasoro algebra, whose central charge reproduces the Bekenstein–Hawking entropy via Cardy's 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.

Lux in obscuro: photon orbits of extremal black holes revisited

“…In addition, although we have investigated the photon orbits in quite general spacetimes for the static case, we have only investigated asymptotically flat Kerr and Kerr-Newman black holes in the non-static case. It would therefore be interesting to see if in the asymptotically AdS case, the photon orbits of Kerr-Newman black holes behave in a similar way (it is already known that a stable photon orbit exists inside the inner horizon of an asymptotically anti-de Sitter Kerr-Newman black hole [82]) and what -if any -implication this has on holography [83]. …”

Nonextremal Kerr/CFT on a stretched horizon

“…In that case, the expressions for the diffeomorphism invariance given by Eqs. (21), (22), (23), and (24) become…”

“…Since the successful description of the holographic duality between the geometry near the horizon of extremal Kerr black hole and the conformal field theory [1][2][3][4][5], there have been many studies for the holographic duality in various black holes [6][7][8][9][10][11][12][13][14][15][16][17][18][19][20][21][22][23]. The holographic duality has been also developed for near extremal black holes by introducing the extremal parameter [15,17] or calculating the graybody factor [24][25][26][27].…”

Near-extremal black hole thermodynamics from AdS 2/CFT 1 correspondence in the low energy limit of 4D heterotic string theory

“…Furthermore, the resulting two dimensional theory is much simplified by considering the region U ∼ , since mixing3 This statement extends to all the Gauss-Bonnet invariants 4. In[43] it was shown that ϕ lm decays exponentially fast in time by analyzing the asymptotic behavior of its field equation for higher orders in l and m.…”

“…Our computational construction mirrors that of [43,44], where the near horizon isotropy is exploited to dimensionally reduce physics to two dimensions a la Robinson and Wilczek [45]. The idea is that most four dimensional near horizon geometries exhibit a sort of splitting:…”