Chiral Lattice Gauge Theories from Symmetry Disentanglers - Lukasz Fidkowski скачать в хорошем качестве

Chiral Lattice Gauge Theories from Symmetry Disentanglers - Lukasz Fidkowski

IAS High Energy Theory Seminar Topic: Chiral Lattice Gauge Theories from Symmetry Disentanglers Speaker: Lukasz Fidkowski Affiliation: University of Washington Date: March 09, 2026 Bloomberg Lecture Hall We propose a Hamiltonian framework for constructing chiral gauge theories on the lattice based on symmetry disentanglers: constant-depth circuits of local unitaries that transform not-on-site symmetries into on-site ones. When chiral symmetry can be realized not-on-site and such a disentangler exists, the symmetry can be implemented in a strictly local Hamiltonian and gauged by standard lattice methods. Using lattice rotor models, we realize this idea in 1+1 and 3+1 spacetime dimensions for U (1) symmetries with mixed ’t Hooft anomalies, and show that symmetry disentanglers can be constructed when anomalies cancel. As an example, we present an exactly solvable Hamiltonian lattice model of the (1+1)-dimensional “3450” chiral gauge theory, and we argue that a related construction applies to the U (1) hypercharge symmetry of the Standard Model fermions in 3+1 dimensions. Our results open a new route toward fully local, nonperturbative formulations of chiral gauge theories.