Solvable models for 2+1D quantum critical points: Loop soups of 1+1D conformal field theories
We construct a class of solvable models for 2+1D quantum critical points by attaching 1+1D conformal field theories (CFTs) to fluctuating domain walls forming a "loop soup".Specifically, our local Hamiltonian attaches gapless spin chains to the domain walls Sofa Bed Topper of a triangular lattice Ising antiferromagnet.The macroscopic degeneracy bet