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Higher-spin flat space cosmologies with soft hair

  • Martin Ammon
  • Daniel GrumillerEmail author
  • Stefan Prohazka
  • Max Riegler
  • Raphaela Wutte
Open Access
Regular Article - Theoretical Physics

Abstract

We present and discuss near horizon boundary conditions for flat space higher-spin gravity in three dimensions. As in related work our boundary conditions ensure regularity of the solutions independently of the charges. The asymptotic symmetry algebra is given by a set of \( \widehat{\mathfrak{u}}(1) \) current algebras. The associated charges generate higher-spin soft hair. We derive the entropy for solutions that are continuously connected to flat space cosmologies and find the same result as in the spin-2 case: the entropy is linear in the spin-2 zero-mode charges and independent from the spin-3 charges. Using twisted Sugawara-like constructions of higher-spin currents we show that our simple result for entropy of higherspin flat space cosmologies coincides precisely with the complicated earlier results expressed in terms of higher-spin zero mode charges.

Keywords

Chern-Simons Theories Higher Spin Gravity Higher Spin Symmetry 

Notes

Open Access

This article is distributed under the terms of the Creative Commons Attribution License (CC-BY 4.0), which permits any use, distribution and reproduction in any medium, provided the original author(s) and source are credited.

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Copyright information

© The Author(s) 2017

Authors and Affiliations

  1. 1.Theoretisch-Physikalisches InstitutFriedrich-Schiller University of JenaJenaGermany
  2. 2.Institute for Theoretical Physics, TU WienViennaAustria
  3. 3.CMCC-Universidade Federal do ABCSanto AndréBrazil
  4. 4.Université libre de Bruxelles, Boulevard du Triomphe, Campus de la PlaineBruxellesBelgium

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