CMSA Quantum Matter in Mathematics and Physics: Exact lattice chiral symmetry in 2d gauge theory

Preserving the symmetries of massless fermions is a well-known challenge in lattice field theory. I'll discuss symmetry-preserving lattice regularizations of 2d QED with one and two flavors of Dirac fermions, as well as the `3450' chiral gauge theory. The construction leverages bosonization and recently-proposed modifications of Villain-type lattice actions. The internal global symmetries act just as locally on the lattice as they do in the continuum, the anomalies are reproduced at finite lattice spacing, and in each case we've found a sign-problem-free dual formulation.

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