Supertraces on the algebras of observables of the rational Calogero model with harmonic potential
Supertraces on the algebras of observables of the rational Calogero model with harmonic potential
We define a complete set of supertraces on the algebra $SH_N(\nu)$, the algebra of observables of the $N$-body rational Calogero model with harmonic interaction. This result extends the previously known results for the simplest cases of $N=1$ and $N=2$ to arbitrary $N$. It is shown that $SH_N(\nu)$ admits $q(N)$ independent …