Anyon black holes

Abstract

We propose a correspondence between an Anyon Van der Waals fluid and a (2+1) dimensional AdS black hole. Anyons are particles with intermediate statistics that interpolates between a Fermi–Dirac statistics and a Bose–Einstein one. A parameter α (0αc, but a quasi Bose–Einstein statistics for ααc and a range of values of the cosmological constant, there is, however, no event horizon so there is no black hole solution. Thus, for these values of cosmological constants, the AdS Anyon Van der Waals black holes have only quasi Bose–Einstein statistics. Keywords: Anyon, Van der Waals black holes, Intermediate statistics