Higher-Spin Flat Space Cosmologies with Soft Hair
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 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 higher-spin flat space cosmologies coincides precisely with the complicated earlier results expressed in terms of higher-spin zero mode charges.
Cite
@article{arxiv.1703.02594,
title = {Higher-Spin Flat Space Cosmologies with Soft Hair},
author = {Martin Ammon and Daniel Grumiller and Stefan Prohazka and Max Riegler and Raphaela Wutte},
journal= {arXiv preprint arXiv:1703.02594},
year = {2019}
}
Comments
22 pages, A Mathematica workbook on ihs[$\lambda$] is included as an ancilliary file; v2: corrected minor misprints; v3: fixed minor issues with the display of some references