The RN/CFT correspondence revisited

Abstract

We reconsidered the quantum gravity description of the near horizon extremal ReissnerNordstrøm black hole in the viewpoint of the AdS 2 /CFT 1 correspondence. We found that, for pure electric case, the right moving central charge of dual 1D CFT is 6Q 2 which is different from the previous result 6Q 3 of left moving sector obtained by warped AdS 3 /CFT 2 description. We discussed the discrepancy in these two approaches and examined novel properties of our result.

Hidden conformal symmetry of rotating black holes in the five-dimensional Gödel universe

“…(35). To support our conjecture, we will count the microscopic entropy and calculate the absorption cross section in the following of this section.…”

“…This observation led to the conjecture that the generic non-extremal Kerr Gödel black hole is holographically dual to a two dimensional CFT with finite temperature (T L , T R ), defined by Eq. (35). We further assumed that the central charges of the dual CFT is c L = c R = 12J , where J is the angular momentum along the φ-circle.…”

Pair production of scalar dyons in Kerr–Newman black holes

“…Besides, for the near extremal charged black holes, the symmetry of the near horizon geometry is enhanced, e.g. AdS 2 × S 2 for the Reissner-Nordström (RN), and a warped AdS 3 = AdS 2 × S 1 for the Kerr-Newman (KN) black hole, which leads to a holographic dual conformal field theory (CFT) description of the black holes [7][8][9][10][11][12][13][14][15].Recently, the pair production of scalar field [3] and spinor field [4] in the near horizon region of RN black holes, as well as pair production of scalar field in near extremal KN black holes [6] have been systematically analyzed. An interesting finding was that the violation of the Breitenlohner-Freedman (BF) bound in the AdS 2 or the warped AdS 3 geometry is equivalent to the existence condition for the pair production, and also guarantees the cosmic censorship conjecture during the pair production process.…”

“…Besides, for the near extremal charged black holes, the symmetry of the near horizon geometry is enhanced, e.g. AdS 2 × S 2 for the Reissner-Nordström (RN), and a warped AdS 3 = AdS 2 × S 1 for the Kerr-Newman (KN) black hole, which leads to a holographic dual conformal field theory (CFT) description of the black holes [7][8][9][10][11][12][13][14][15].…”

Hidden Conformal Symmetry of Extremal Linear Dilaton Black Hole in EMDA Theory

“…The microscopic entropy of the four dimensional extremal Kerr black hole can be calculated by studying the dual chiral conformal field theory associated with the diffeomorphisms of near horizon geometry of the Kerr black hole. This method has been extended to other extremal black holes [3][4][5][6][7][8][9][10][11][12][13][14][15][16].…”