Non-invertible bosonic chiral symmetry on the lattice

Speaker:

Lukasz Fidkowski

Affiliation:

University of Washington

Date:

Mon, 07/07/2025 - 15:30 - 16:30

Location:

MPIM Lecture Hall [2]

Parent event:

Twinned workshop on "Quantum Field Theory and Topological Phases via Homotopy Theory and Operator Algebras" [3]

We construct a Hamiltonian lattice realization of the non-invertible chiral symmetry that mimics an axial rotation at a rational angle in a U(1) gauge theory with bosonic charged matter. We provide a heuristic argument that this setup allows a symmetric Hamiltonian which flows, at low energies, to a known field theory with this symmetry.