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Higher-spin flat space cosmologies with soft hair

  • Regular Article - Theoretical Physics
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  • Published: 08 May 2017
  • volume 2017, Article number: 31 (2017)
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Higher-spin flat space cosmologies with soft hair
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  • Martin Ammon1,
  • Daniel Grumiller2,3,
  • Stefan Prohazka  ORCID: orcid.org/0000-0002-3925-39832,
  • Max Riegler  ORCID: orcid.org/0000-0002-0131-957X4 &
  • …
  • Raphaela Wutte2 

  • 274 Accesses

  • 23 Citations

  • 1 Altmetric

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A preprint version of the article is available at arXiv.

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.

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Authors and Affiliations

  1. Theoretisch-Physikalisches Institut, Friedrich-Schiller University of Jena, Max-Wien-Platz 1, D-07743, Jena, Germany, Europe

    Martin Ammon

  2. Institute for Theoretical Physics, TU Wien, Wiedner Hauptstrasse 8-10/136, A-1040, Vienna, Austria, Europe

    Daniel Grumiller, Stefan Prohazka & Raphaela Wutte

  3. CMCC-Universidade Federal do ABC, Santo André, S.P., Brazil

    Daniel Grumiller

  4. Université libre de Bruxelles, Boulevard du Triomphe, Campus de la Plaine, 1050, Bruxelles, Belgium, Europe

    Max Riegler

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  1. Martin Ammon
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  2. Daniel Grumiller
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Correspondence to Daniel Grumiller.

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ArXiv ePrint: 1703.02594

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Ammon, M., Grumiller, D., Prohazka, S. et al. Higher-spin flat space cosmologies with soft hair. J. High Energ. Phys. 2017, 31 (2017). https://doi.org/10.1007/JHEP05(2017)031

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  • Received: 23 March 2017

  • Accepted: 02 May 2017

  • Published: 08 May 2017

  • DOI: https://doi.org/10.1007/JHEP05(2017)031

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Keywords

  • Chern-Simons Theories
  • Higher Spin Gravity
  • Higher Spin Symmetry
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