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

Physics – Condensed Matter

Scientific paper

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5 pp., plain Latex, comment on cond-mat/9206007

Scientific paper

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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