BEGIN:VCALENDAR VERSION:2.0 PRODID:-//Talks.cam//talks.cam.ac.uk// X-WR-CALNAME:Talks.cam BEGIN:VEVENT SUMMARY:Chiral Lattice gauge theories from symmetry disentanglers - Prof L ukasz Fidkowski (Washington) DTSTART:20260423T130000Z DTEND:20260423T141500Z UID:TALK245851@talks.cam.ac.uk CONTACT:Luca Cocconi DESCRIPTION:

We propose a Hamiltonian framework for constructing ch iral gauge theories on the lattice based on symmetry disentanglers: consta nt-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 s uch a disentangler exists\, the symmetry can be implemented in a strictly local Hamiltonian and gauged by standard lattice methods. Using lattice ro tor 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)-dimens ional “3450” chiral gauge theory\, and we argue that a related constru ction applies to the U (1) hypercharge symmetry of the Standard Model ferm ions in 3+1 dimensions. Our results open a new route toward fully local\, nonperturbative formulations of chiral gauge theories.

LOCATION:Seminar Room 3\, RDC. END:VEVENT END:VCALENDAR