Soft hairy horizons in three spacetime dimensions

Hamid Afshar, Daniel Grumiller, Wout Merbis, Alfredo Perez, David Tempo, and Ricardo Troncoso
Phys. Rev. D 95, 106005 – Published 15 May 2017

Abstract

We discuss some aspects of soft hairy black holes and a new kind of “soft hairy cosmologies,” including a detailed derivation of the metric formulation, results on flat space, and novel observations concerning the entropy. Remarkably, like in the case with negative cosmological constant, we find that the asymptotic symmetries for locally flat spacetimes with a horizon are governed by infinite copies of the Heisenberg algebra that generate soft hair descendants. It is also shown that the generators of the three-dimensional Bondi-Metzner-Sachs algebra arise from composite operators of the affine u^(1) currents through a twisted Sugawara-like construction. We then discuss entropy macroscopically and microscopically and discover that a microscopic formula derived recently for boundary conditions associated with the Korteweg–de Vries hierarchy fits perfectly our results for entropy and ground state energy. We conclude with a comparison to related approaches.

  • Received 21 December 2016

DOI:https://doi.org/10.1103/PhysRevD.95.106005

© 2017 American Physical Society

Physics Subject Headings (PhySH)

Particles & FieldsGravitation, Cosmology & Astrophysics

Authors & Affiliations

Hamid Afshar1,*, Daniel Grumiller2,3,†, Wout Merbis2,‡, Alfredo Perez3,§, David Tempo3,∥, and Ricardo Troncoso3,¶

  • 1School of Physics, Institute for Research in Fundamental Sciences (IPM), P.O. Box 19395-5531 Tehran, Iran
  • 2Institute for Theoretical Physics, TU Wien, Wiedner Hauptstrasse 8–10/136, A-1040 Vienna, Austria
  • 3Centro de Estudios Científicos (CECs), Av. Arturo Prat 514 Valdivia, Chile

  • *afshar@ipm.ir
  • grumil@hep.itp.tuwien.ac.at
  • merbis@hep.itp.tuwien.ac.at
  • §aperez@cecs.cl
  • tempo@cecs.cl
  • troncoso@cecs.cl

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Issue

Vol. 95, Iss. 10 — 15 May 2017

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