Jack Polynomials, Exclusion Statistics, and non-Abelian FQHE States at $\nu$ = $k/(km+r)$

We describe a general family of non-Abelian FQHE states at $\nu$ = $k/(km+r)$ with polynomial wavefunctions $\prod_{i0$) no group of $m$ orbitals contains more than one. This exclusion rule defines a space of polynomials characterized by how they vanish as clusters of particle coordinates contract to a point. The edge of these FQHE states has a fractionally-quantized thermal Hall effect with $c^{\rm eff}$ = $k(r+1)/(k+r)$, derived from the exclusion rule. The $r=2$ family are the Laughlin, Moore-Read, and Read-Rezayi states, related to unitary conformal field theories. The $r > 2$ families are related to non-unitary $W_k^{k+1,k+r}$ cft, but (as polynomials) have well-defined quasi-hole propagators, which overcomes the principal objection to the proposition that non-unitary cft's can describe FQHE states. The $m=1$, $r=k+1$ set are a non-Abelian alternative construction of states at 2/5,3/7,4/9, \ldots.