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The absence of magnetic long range order in the triangular lattice spin-1antiferromagnet $NiGa$_2$S$_4$ has prompted the search for a novel quantumground state. In particular, several experiments suggest the presence of alinearly dispersing mode despite no long-range magnetic order. We show that theanomalous low temperature properties of NiGa$_2$S$_4$ can naturally beexplained by the formulation developed by Halperin and Saslow where thelinearly dispersing Halperin-Saslow mode may exist in the background of frozenspin moments and zero net magnetization. We provide highly non-trivialconsistency checks on the existing experimental data and suggest futureexperiments that can further confirm the existence of the Halperin-Saslow mode.Our results place strong constraints on any microscopic theory of thismaterial.

Halperin-Saslow modes as the origin of the low temperature anomaly in $NiGa_2S_4$