W-hairs of black holes in three dimensional spacetime

Abstract

In the previous paper (arXiv:1804.09438) we found that the near horizon symmetry algebra of black holes is a subalgebra of the $W_{1+\infty }$ symmetry algebra of quantum Hall fluid in three dimensional spacetime. In this paper, we give a slightly different representation of the former algebra from the latter one. Similar to the horizon fluff proposal, based on the $W_{1+\infty }$ algebra, we count the number of the microstates of the BTZ black holes and obtain the Bekenstein-Hawking entropy.

7 pages, comments are welcomed

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Cited by in corpus (1)

• Microscopic states of Kerr black holes from boundary-bulk correspondence