Soft Heisenberg hair on black holes in three dimensions
By H. Afshar, S. Detournay, D. Grumiller, Wout Merbis, A. Pérez, D. Tempo, Ricardo Troncoso. 2016
177 citations recorded by the source corpus.
Three-dimensional Einstein gravity with negative cosmological constant admits stationary black holes that are not necessarily spherically symmetric. We propose boundary conditions for the near horizon region of these black holes that lead to a surprisingly simple near horizon symmetry algebra consisting of two affine u(1) current algebras. The symmetry algebra is essentially equivalent to the Heisenberg algebra. The associated charges give a specific example of "soft hair" on the horizon, as defined by Hawking, Perry and Strominger. We show that soft hair does not contribute to the Bekenstein-Hawking entropy of Banados-Teitelboim-Zanelli black holes and "black flower" generalizations. From the near horizon perspective the conformal generators at asymptotic infinity appear as composite operators, which we interpret in the spirit of black hole complementarity. Another remarkable feature of our boundary conditions is that they are singled out by requiring that the whole spectrum is compatible with regularity at the horizon, regardless the value of the global charges like mass or angular momentum. Finally, we address black hole microstates and generalizations to cosmological horizons.
Subfields: Astronomy and Astrophysics, Nuclear and High Energy Physics, Statistical and Nonlinear Physics
View Paper: https://www.semanticscholar.org/paper/678280e53a70878b27399cd516a655bf5b6d6e87
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Citations in the corpus
- Extended symmetries at the black hole horizon (2016, background): “However, the transformations considered in [11] are not of that class, and this is the reason why the algebra of asymptotic isometries and that of the associated charges are different from ours.”