8 citations · 9 across the 3 of their papers we have counts for
4 papers
Categorifying Quantum Spin Systems
Matthew Yu
We develop a homotopical framework for understanding the space of quantum spin systems based on topological -nets, which assign associative unital algebras to local regions in a…
Mutual Influence of Symmetries and Topological Field Theories
Daniel Teixeira, Matthew Yu
We study how the fusion 2-category symmetry of a fermionic (2+1)d QFT can be affected when one allows for stacking with TQFTs to be an equivalence relation for QFTs. Focusing on a…
A non-semisimple non-invertible symmetry
Clement Delcamp, Edmund Heng, Matthew Yu
We investigate the action of a non-invertible symmetry on spins chains whose topological lines are labelled by representations of the four-dimensional Taft algebra. The main peculi…
Fusion 3-Categories for Duality Defects
Lakshya Bhardwaj, Thibault Décoppet, Sakura Schafer-Nameki +1
We study the fusion 3-categorical symmetries for quantum theories in (3+1)d with self-duality defects. Such defects have been realized physically by half-space gauging in theories…