Mathematical Physics Seminar
Title
Tensor networks and categorical Morita invariance
Date
February 12 (Wed), 15:00-16:30, 2025
Place
Room 206 RIMS
Speaker
Christoph Schweigert (Hamburg University)
Abstract
We explain the relation between three-dimensional topological field
theories with boundaries and two-dimensional tensor network states.
Specifically, we demonstrate how the entries of various tensors, such as
Projected Entangled Pair States (PEPS) and Matrix Product
Operators (MPO), naturally emerge in the state-sum construction as
evaluations of tetrahedral graphs on spheres. These entries are thus
(mixed) 6j-symbols, which involve spherical module categories and the
associated Morita contexts.
The talk based on work with Jürgen Fuchs, Jutho Haegeman, Laurens
Lootens and Frank Verstraete.