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

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

1996-12-31

arxiv.org/abs/hep-th/9612253v1

Physics

High Energy Physics

High Energy Physics - Theory

10 pages, LATEX

Scientific paper

10.1007/BF02634270

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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