This article is cited in 6 papers

Three-particle Calogero model: Supertraces and ideals on the observables algebra

S. E. Konstein

P. N. Lebedev Physical Institute, Russian Academy of Sciences

Abstract: The associative observables superalgebra of the three-particle Calogero model giving all its wave functions via the standard Fock procedure has two independent supertraces. When the coupling constant $\nu$ is $n\pm1/3$ or $n+1/2$, the existence of two independent supertraces leads to the existence of a nontrivial two-sided ideal in the observables superalgebra for any integer $n$.

Received: 02.12.1997

DOI: 10.4213/tmf892

 English version: Theoretical and Mathematical Physics, 1998, 116:1, 836–845

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