Rational Calogero models based on rank-2 root systems: supertraces on the superalgebras of observables
Abstract
It is shown that the superalgebra of observables of the rational Calogero model based on the root system of I2(n) type possesses [(n+1)/2] supertraces. Model with three-particle interaction based on the root system G2 belongs to this class of models and its superalgebra of observables has 3 independent supertraces.
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