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We study a time-reversal invariant non-abelian spin-liquid state in an $SU(2)$ symmetric spin $S = 1$ quantum magnet on a triangular lattice. Thespin-liquid is obtained by quantum disordering a non-collinear nematic state.We show that such a spin-liquid cannot be obtained by the standard projectiveconstruction for spin-liquids. We also study phase transition between thespin-liquid and the non-collinear nematic state and show that it cannot bedescribed within Landau-Ginzburg- Wilson paradigm.

A non-abelian spin-liquid in a spin-1 quantum magnet