Non-invertible symmetries on the latticeConfirmed

by Pranay Gorantla (Perimeter Institute for Theoretical Physics)

Tuesday May 12, 2026, 2:00 PM → 3:30 PM America/Toronto

PI/4-400 - Space Room (Perimeter Institute for Theoretical Physics)

Non-invertible symmetries have received a lot of attention in the last few years, with nontrivial applications in both high energy physics and condensed matter physics. I will discuss exact realizations of non-invertible symmetries on the lattice. Specifically, I will present a tensor network representation of non-invertible duality symmetries, such as the well known Kramers-Wannier duality in 1+1d and the Wegner duality in 3+1d, using a graphical tool from quantum information known as ZX-calculus. I will then discuss some low energy consequences of these symmetries in explicit lattice models. In particular, I will introduce a deformation of the 3+1d lattice Z2 gauge theory with exactly degenerate and (provably) gapped ground states, which include a product state and the toric code ground states. I’ll end with some generalisations and future directions.