Lifshitz Phase of Quantum Gravity: The Infrared Fixed Point of the (2+1)D Unimodular Hořava-Chern-Simons Model

We consider a nonrelativistic gravity theory in (2+1) dimensions with $w_\infty$ gauge symmetry that we call unimodular Hořava-Chern-Simons gravity. The theory has three dimensionless couplings, one of which is the Chern-Simons level $κ$. At large $|κ|$, the theory flows from an asymptotically free