PIRSA:26050039

Video URL

https://pirsa.org/26050039

Non-invertible symmetries on the lattice

Gorantla, P. (2026). Non-invertible symmetries on the lattice. Perimeter Institute for Theoretical Physics. https://pirsa.org/26050039

Gorantla, Pranay. Non-invertible symmetries on the lattice. Perimeter Institute for Theoretical Physics, May. 12, 2026, https://pirsa.org/26050039 

          @misc{ scivideos_PIRSA:26050039,
            doi = {10.48660/26050039},
            url = {https://pirsa.org/26050039},
            author = {Gorantla, Pranay},
            keywords = {Quantum Fields and Strings},
            language = {en},
            title = {Non-invertible symmetries on the lattice},
            publisher = {Perimeter Institute for Theoretical Physics},
            year = {2026},
            month = {may},
            note = {PIRSA:26050039 see, \url{https://scivideos.org/pirsa/26050039}}
          }

Pranay Gorantla Perimeter Institute for Theoretical Physics

Talk numberPIRSA:26050039
DOI10.48660/26050039
Source RepositoryPIRSA
Collection
Talk Type Scientific Series
Subject

Abstract

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.