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

S. E. Konstein

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arXiv · hep-th/9803213

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

S. E. Konstein

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Abstract

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 νis 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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S. E. Konstein. 1998-03-25. 3-particle Calogero Model: Supertraces and Ideals on the Algebra of Observables. https://arxiv.org/abs/hep-th/9803213

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