October 10, 2023

Speaker: Shu-Heng Shao (SCGP)

Title: Non-invertible lattice translation

Abstract: I will discuss non-invertible symmetries in 1+1d lattice models with a tensor-product Hilbert space, including the transverse-field Ising model and its deformation. The Kramers-Wannier duality operator on the lattice mixes with the lattice translation, and obeys a different non-invertible algebra compared to the continuum one.