The RN/CFT correspondence revisited

We reconsidered the quantum gravity description of the near horizon extremal Reissner-Nordstrøm black hole in the viewpoint of the AdS ₂/CFT₁ correspondence. We found that, for pure electric case, the right moving central charge of dual 1D CFT is 6Q² which is different from the previous result 6Q³ of left moving sector obtained by warped AdS₃/CFT₂ description. We discussed the discrepancy in these two approaches and examined novel properties of our result.