3-particle Calogero Model: Supertraces and Ideals on the Algebra of Observables

Details 3-particle Calogero Model: Supertraces and Ideals on the Algebra of Observables 3-particle Calogero Model: Supertraces and Ideals on the Algebra of Observables

1998-03-25

arxiv.org/abs/hep-th/9803213v1

Theor.Math.Phys. 116 (1998) 836-845; Teor.Mat.Fiz. 116 (1998) 122-133

Physics

High Energy Physics

High Energy Physics - Theory

10 pages, LATEX

Scientific paper

The associative superalgebra of observables of 3-particle Calogero model giving all wavefunctions of the model via standard Fock procedure has 2 independent supertraces. It is shown here that when the coupling constant \nu is equal to n+1/3, n-1/3 or n+1/2 for any integer n the existence of 2 independent supertraces leads to existence of nontrivial two-sided ideal in the superalgebra of observables.

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