Yasuyuki Kawahigashi

collaborators

2 papers

math-ph2025

The zipper condition for $4$ -tensors in two-dimensional topological order and the higher relative commutants of a subfactor arising from a commuting square

Researchers in condensed matter physics recently study two-dimensional topological order in terms of tensor networks involving certain 3- and 4-tensors. Their 3-tensors satisfying…

math.QA2024

Flatness of $α$ -induced bi-unitary connections and commutativity of Frobenius algebras

Yasuyuki Kawahigashi

The tensor functor called $α$ -induction produces a new unitary fusion category from a Frobenius algebra, or a $Q$ -system, in a braided unitary fusion category. A bi-unitary connect…

The zipper condition for 4-tensors in two-dimensional topological order and the higher relative commutants of a subfactor arising from a commuting square

Flatness of α-induced bi-unitary connections and commutativity of Frobenius algebras

The zipper condition for $4$ -tensors in two-dimensional topological order and the higher relative commutants of a subfactor arising from a commuting square

Flatness of $α$ -induced bi-unitary connections and commutativity of Frobenius algebras