Extremal RN/CFT in Both Hands Revisited

TL;DR

This paper revisits the extremal Reissner-Nordstrom/Conformal Field Theory correspondence by uplifting the black hole to five dimensions, applying geometric regularization, and accurately computing the central charges using the Brown-Henneaux method.

Contribution

It provides a consistent calculation of both hands central charges for the 4d extremal RN black hole via a 5d uplift and geometric regularization, enhancing the understanding of RN/CFT correspondence.

Findings

Both hands central charges are obtained correctly.

The 4d RN black hole is successfully uplifted to a 5d rotating black hole.

The Brown-Henneaux technique is effectively applied to this setup.

Abstract

We study RN/CFT correspondence for four dimensional extremal Reissner-Nordstrom black hole. We uplift the 4d RN black hole to a 5d rotating black hole and make a geometric regularization of the 5d space-time. Both hands central charges are obtained correctly at the same time by Brown-Henneaux technique.