New Near Horizon Limit in Kerr/CFT

TL;DR

This paper introduces new near horizon limits for extremal Kerr and Myers-Perry black holes, deriving Virasoro algebras and central charges, including a non-zero right sector, to advance the Kerr/CFT correspondence understanding.

Contribution

It presents novel near horizon limits that enable explicit derivation of the right sector central charge in Kerr/CFT, extending previous results.

Findings

Derived Virasoro algebras as asymptotic symmetries.

Calculated non-zero central charge in the right sector.

Reformulated algebras to match standard form, confirming Kerr/CFT expectations.

Abstract

The extremal Kerr black hole with the angular momentum J is conjectured to be dual to CFT with central charges c_L=c_R=12J. However, the central charge in the right sector remains to be explicitly derived so far. In order to investigate this issue, we introduce new near horizon limits of (near) extremal Kerr and five-dimensional Myers-Perry black holes. We obtain Virasoro algebras as asymptotic symmetries and calculate the central charges associated with them. One of them is equivalent to that of the previous studies, and the other is non-zero, but still the order of near extremal parameter. Redefining the algebras to take the standard form, we obtain a finite value as expected by the Kerr/CFT correspondence.