Non-Abelian Spin Liquid in a Spin-One Quantum Magnet

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. The spin liquid is obtained by quantum disordering a noncollinear nematic state. We show that such a spin liquid cannot be obtained by the standard projective construction for spin liquids. We also study the phase transition between the spin liquid and the noncollinear nematic state and show that it cannot be described within the Landau-Ginzburg-Wilson paradigm.