3 citations · 4 across the 4 of their papers we have counts for
4 papers
Classification of operator algebraic conformal field theories in dimensions one and two
Yasuyuki Kawahigashi
We formulate conformal field theory in the setting of algebraic quantum field theory as Haag-Kastler nets of local observable algebras with diffeomorphism covariance on the two-dim…
Classification of operator algebraic conformal field theories
Yasuyuki Kawahigashi
We give an exposition on the current status of classification of operator algebraic conformal field theories. We explain roles of complete rationality and alpha-induction for nets…
(2+1)-dimensional topological quantum field theory from subfactors and Dehn surgery formula for 3-manifold invariants
Yasuyuki Kawahigashi, Nobuya Sato, Michihisa Wakui
In this paper, we establish the general theory of (2+1)-dimensional topological quantum field theory (in short, TQFT) with a Verlinde basis. It is a consequence that we have a Dehn…
Longo-Rehren subfactors arising from -induction
J. Böckenhauer, D. E. Evans, Y. Kawahigashi
We study (dual) Longo-Rehren subfactors arising from various systems of endomorphisms of M obtained from alpha-induction for some braided subfactor $N\…