Colored black holes and Kac-Moody algebra
Gaston Giribet, Luciano Montecchio
TL;DR
This paper reveals that the near horizon symmetries of Einstein--Yang-Mills black holes form an infinite-dimensional algebra combining supertranslations, superrotations, and a non-Abelian loop algebra, mirroring the Virasoro--Kac-Moody structure at infinity.
Contribution
It establishes an exact analog of the Virasoro--Kac-Moody algebra in the near horizon region of Einstein--Yang-Mills black holes.
Findings
Near horizon symmetries form an infinite-dimensional algebra.
The algebra includes supertranslations, superrotations, and a non-Abelian loop algebra.
The structure mirrors the asymptotic Virasoro--Kac-Moody algebra.
Abstract
We demonstrate that the near horizon symmetries of black holes in Einstein--Yang-Mills (EYM) theory are generated by an infinite-dimensional algebra that contains, in addition to supertranslations and superrotations, a non-Abelian loop algebra. This means that the Virasoro--Kac-Moody structure of EYM in asymptotically flat spacetimes has an exact analog in the near horizon region.
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