On the Stress Tensor of Kerr/CFT

TL;DR

This paper constructs a boundary stress tensor for the Kerr/CFT correspondence, revealing the dual theory as a discrete light cone quantum theory and resolving technical issues with covariance and charge integrability.

Contribution

It introduces a covariant boundary stress tensor for Kerr/CFT and demonstrates the dual theory's discrete light cone quantum structure.

Findings

The stress tensor indicates a discrete light cone quantum dual theory.

A counter-term is added to ensure covariance and charge integrability.

The construction supports the Kerr/CFT correspondence framework.

Abstract

The recently-conjectured Kerr/CFT correspondence posits a field theory dual to dynamics in the near-horizon region of an extreme Kerr black hole with certain boundary conditions. We construct a boundary stress tensor for this theory via covariant phase space techniques. The structure of the stress tensor indicates that any dual theory is a discrete light cone quantum theory, in agreement with recent arguments by Balasubramanian et al. The key technical step in our construction is the addition of an appropriate counter-term to the symplectic structure, which is necessary to make the theory fully covariant and to resolve a subtle problem involving the integrability of charges.