Higher-spin flat space cosmologies with soft hair

DOI10.1007/JHEP05(2017)031zbMATH Open1380.83293arXiv1703.02594MaRDI QIDQ682905

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Publication date: 5 February 2018

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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 $hatmathfraku(1)$ 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 higher-spin flat space cosmologies coincides precisely with the complicated earlier results expressed in terms of higher-spin zero mode charges.

Full work available at URL: https://arxiv.org/abs/1703.02594

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