Supertraces on the algebra of observables of the rational Calogero model based on the classical root system
Abstract
A complete set of supertraces on the algebras of observables of the rational Calogero models with harmonic interaction based on the classical root systems of BN, CN and DN types is found. These results extend the results known for the case AN. It is shown that there exist Q independent supertraces where Q(BN)=Q(CN) is a number of partitions of N into a sum of positive integers and Q(DN) is a number of partitions of N into a sum of positive integers with even number of even integers.
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