The finite infinite range Heisenberg model and microcanonical black hole statistics

preprint2016arXivOpen access

Abstract

The Gelfand pattern of the reduction of the N-fold tensor product of the fundamental representation of the special unitary group SU(2) by itself is studied in the framework of a finite Heisenberg model with infinite range, where N spins couple to each other with the same strength. The present findings are related to the microstatistics of non-rotating black holes for illustrative purposes.

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