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

1998/03/25 by S. E. Konstein
Physics and Astronomy · #hep-th

paper · pdf

published as Theor.Math.Phys. 116 (1998) 836-845; Teor.Mat.Fiz. 116 (1998) 122-133 · 10 pages, LATEX

arxiv created 1998/03/25 · arxiv updated 2009/11/30

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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