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Rational Calogero models based on rank-2 root systems: supertraces on the superalgebras of observables

S. E. Konstein
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Abstract

It is shown that the superalgebra of observables of the rational Calogero model based on the root system of I_2(n) type possesses [(n+1)/2] supertraces. Model with three-particle interaction based on the root system G_2 belongs to this class of models and its superalgebra of observables has 3 independent supertraces.

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S. E. Konstein. 1998-01-01. Rational Calogero models based on rank-2 root systems: supertraces on the superalgebras of observables. https://arxiv.org/abs/math/9801001

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