Yet Another Realization of Kerr/CFT Correspondence

TL;DR

This paper proposes a new boundary condition in Kerr/CFT correspondence that simultaneously accommodates both left and right movers, addressing previous limitations of exclusive boundary conditions.

Contribution

It introduces a unified boundary condition enabling the simultaneous realization of both left and right movers in Kerr/CFT correspondence.

Findings

New boundary condition allows both left and right movers

Addresses previous exclusivity of boundary conditions

Enhances understanding of Kerr/CFT duality

Abstract

The correspondence between the Kerr black hole and a boundary CFT has been conjectured recently. The conjecture has been proposed first only for the half of the CFT, namely for left movers. For right movers, the correspondence has been also found out through the suitable asymptotic boundary condition. However, the boundary conditions for these two studies are exclusive to each other. The boundary condition for left movers does not allow the symmetry of right movers, and vice versa. We propose new boundary condition which allows both of left and right movers.