A spin-1/2 system on a honeycomb lattice is studied. The interactions between nearest
neighbors are of XX, YY or ZZ type, depending on the direction of the link; different types of …

A subtheory of a quantum field theory specifies von Neumann subalgebras (the
'observables' in the space-time region) of the von Neumann algebras (the'field'localized in) …

In the book of Haag [Local Quantum Physics (Springer Verlag, Berlin, 1992)] about local
quantum field theory the main results are obtained by the older methods of C*-and W …

A bstract We construct the defining data of two-dimensional topological field theories (TFTs)
enriched by non-invertible symmetries/topological defect lines. Simple formulae for the three …

We describe the structure of the inclusions of factors?(E)⊂?(E′)′ associated with multi-
intervals E⊂ ℝ for a local irreducible net? of von Neumann algebras on the real line …

Abstract Topological phases in (2+ 1)-dimensions are frequently equipped with global
symmetries, like conjugation, bilayer or electric–magnetic duality, that relabel anyons …

We review the physical meaning of modular invariance for unitary conformal quantum field
theories in d= 2. For quantum field theory models, while T invariance is necessary for …

We completely classify diffeomorphism covariant local nets of von Neumann algebras on the
circle with central charge c less than 1. The irreducible ones are in bijective correspondence …

We consider a type III subfactor N⊂ N of finite index with a finite system of braided NN
morphisms which includes the irreducible constituents of the dual canonical endomorphism …

We prove that a haploid associative algebra in a C∗-tensor category C is equivalent to a Q-
system (a special C∗-Frobenius algebra) in C if and only if it is rigid. This allows us to prove …