Speaker
Description
A central challenge in formulating chiral gauge theories on the lattice is to realize the anomaly-cancellation mechanism at finite lattice spacing. In this talk, I present a bosonization-based lattice formulation of two-dimensional non-Abelian chiral gauge theories.
In the continuum description based on non-Abelian bosonization, the gauge anomaly of chiral fermions is encoded through anomaly inflow from a three-dimensional Chern–Simons-type bulk contribution associated with the gauged Wess–Zumino–Witten model. To obtain a bosonized action suitable for lattice regularization, I introduce gauge-neutral “spectator fermions.” Motivated by this continuum structure, I construct a lattice counterpart of the gauged Wess–Zumino–Witten model with a three-dimensional bulk extension.
The main result is that the left- and right-handed bulk contributions cancel in the exponentiated lattice action when the anomaly-free condition is satisfied, namely when the left- and right-handed representations have matching quadratic indices. This cancellation holds at finite lattice spacing, before taking the continuum limit.
This talk is based on arXiv:2606.12358.