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arXiv · hep-th/9612253

Supertraces on the algebra of observables of the rational Calogero model based on the classical root system

S. E. Konstein
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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 B_N, C_N and D_N types is found. These results extend the results known for the case A_N. It is shown that there exist Q independent supertraces where Q(B_N)=Q(C_N) is a number of partitions of N into a sum of positive integers and Q(D_N) is a number of partitions of N into a sum of positive integers with even number of even integers.

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S. E. Konstein. 1996-12-31. Supertraces on the algebra of observables of the rational Calogero model based on the classical root system. https://doi.org/10.1007/bf02634270

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