Criticality in the 2+1 dimensional Higgs model and fractionalized insulators

We use a novel method of computing the third moment $M_3$ of the action of the $2+1$-dimensional compact Higgs model in the adjoint representation with $q=2$ to extract correlation length and specific heat exponents $\nu$ and $\alpha$ without invokinghyperscaling. Finite-size scaling analysis of $M