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The Majorana Fermions for Quantum S=1/2 Antiferromagnet?

Alexander Moroz

cond-matarXiv:cond-mat/9207013

Abstract

Recently it has been suggested by A. M. Tsvelik that quantum S=1/2 antiferromagnet can be described by the Majorana fermions in an irreducible way and without any constraint. In contrast to this claim we shall show that this representation is highly reducible. It is a direct sum of four irreducible fundamental representations of su(2) algebra.

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