We review the construction and properties of quantum Hall states that exhibit a pairing or clustering of the constituent particles. Such states are believed to be relevant for the observed quantum Hall effect at filling 5/2, as well as for rotating BEC. Specific classes of such states, including spin-singlet states, can be constructed and analyzed with the help of parafermionic CFT. We demonstrate how these CFT's are used for the construction of ground state wave functions, as well as for the state counting of quasi-hole excitations.
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