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

Abstract

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