S=1 Spin Liquids: Broken Discrete Symmetries Restored

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We introduce a novel kind of spin liquid, the spin 1 chirality liquid, which provides a generic paradigm for a disordered spin 1 antiferromagnet in two dimensions. It supports spinon and holon excitations, which carry a chirality quantum number. These excitations obey half-fermi statistics. The sign of the statistical parameter is determined by the chirality. The spin 1 chirality liquid is the first example of a two dimensional quantum state which supports excitations with fractional statistics but does not violate P or T.