AbstractRecent years have witnessed an explosion of studies of the non-invertible symmetries in various dimensions. In this talk, I will revisit the most vanilla type of non-invertible symmetry — Kramers-Wannier duality symmetry in (1+1)d, from three different perspectives: 1. lattice; 2. field theory; 3. Symmetry TFT. I will explain the construction of non-invertible defects, their fusion rul...
AbstractI will show the emergence of type III_1 von Neumann algebras from large N quantum mechanical models. These are effective models constructed from gauge theories on a circle. Their partition functions are matrix models that are explicitly solved in the large N limit. The spectral densities underlying the algebras are computed in closed form, and expressed in terms of the eigenvalue densit...