A general construction using CFT null vectors and BPZ equations yields continuum Hamiltonians for which Moore-Read and k=3 Read-Rezayi Jack-polynomial states are exact zero modes.
Greiter,Mapping of Parent Hamiltonians: From Abelian and non-Abelian Quantum Hall States to Exact Models of Critical Spin Chains(Springer Berlin Heidel- berg, Heidelberg, 2011)
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Parent Hamiltonian Construction of Generalized Calogero-Sutherland Models
A general construction using CFT null vectors and BPZ equations yields continuum Hamiltonians for which Moore-Read and k=3 Read-Rezayi Jack-polynomial states are exact zero modes.