A Matrix Model for Non-Abelian Quantum Hall States

Understand

We propose a matrix quantum mechanics for a class of non-Abelian quantum Hall states.

• The model describes electrons which carry an internal SU(p) spin.
• The ground states of the matrix model include spin-singlet generalisations of the Moore-Read and Read-Rezayi states and, in general, lie in a class previously introduced by Blok and Wen.
• The effective action for these states is a U(p) Chern-Simons theory.