Universal fermionization of bosons on permutative representations of the Cuntz algebra ${\cal O}_{2}$

Physics – Mathematical Physics

Scientific paper

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12 pages

Scientific paper

10.1063/1.3131688

Bosons and fermions are described by using canonical generators of Cuntz
algebras on any permutative representation. We show a fermionization of bosons
which universally holds on any permutative representation of the Cuntz algebra
${\cal O}_{2}$. As examples, we show fermionizations on the Fock space and the
infinite wedge.

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