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We present a numerical treatment of a novel non-perturbative latticeregularization of a $1+1d$ $SU(2)$ Chiral Gauge Theory. Our approach followsrecent proposals that exploit the newly discovered connection between anomaliesand topological (or entangled) states to show how to create a latticeregularization of any anomaly-free chiral gauge theory. In comparison to othermethods, our regularization enjoys on-site fermions and gauge action, as wellas a physically transparent fermion Hilbert space. We follow the `mirrorfermion' approach, in which we first create a lattice regularization of boththe chiral theory and its mirror conjugate and then introduce interactions thatgap out only the mirror theory. The connection between topological states andanomalies shows that such interactions exist if the chiral theory is free ofall quantum anomalies. Instead of numerically intractable fermion-fermioninteractions, we couple the mirror theory to a Higgs field driven into asymmetry-preserving, disordered, gapped phase.

A Novel Non-Perturbative Lattice Regularization of an Anomaly-Free $1 + 1d$ Chiral $SU(2)$ Gauge Theory