Kerr/CFT from phase space formalism

Finding physical degrees of freedom that can be the Kerr black hole microstates is one of the topics we have considered in this paper. The study of such microstates for the Schwarzschild black hole has been done in the literature by various methods, especially by using the Hamiltonian phase space approach. The Schwarzschild spacetime is in the larger family of the Kerr spacetimes. For this reason, the Hamiltonian phase space approach can be used to study the Kerr black hole microstates. We focus on the Kerr spacetime and we get some remarkable results using the covariant phase space analysis. By applying the Bondi fall-off conditions at the boundary of spacetime, and by finding the excitations around this point in the phase space, we find the gauge degrees of freedom that could be good candidates for the black hole microstates. The charge algebra on the boundary could be a Virasoro-algebra that has different central terms than the Schwarzschild black hole case. The two dimensional theory on the black hole boundary is conjectured to be conformally invariant.

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Published 25 March 2024