The RN/CFT Correspondence Revisited

TL;DR

This paper revisits the quantum gravity description of extremal Reissner-Nordström black holes using the AdS2/CFT1 correspondence, revealing a new right-moving central charge differing from previous warped AdS3/CFT2 results.

Contribution

It provides a revised calculation of the right-moving central charge for the dual CFT, highlighting discrepancies with prior warped AdS3/CFT2 approaches and exploring their implications.

Findings

Right-moving central charge is 6 Q^2 for pure electric case

Discrepancy identified between AdS2/CFT1 and warped AdS3/CFT2 results

New properties of the dual CFT are discussed

Abstract

We reconsidered the quantum gravity description of the near horizon extremal Reissner-Nordstr{\o}m 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 $6 Q^2$ which is different from the previous result $6 Q^3$ 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.