Canonical tensor product subfactors

Abstract

Canonical tensor product subfactors (CTPS's) describe, among other things, the embedding of chiral observables in two-dimensional conformal quantum field theories. A new class of CTPS's is constructed some of which are associated with certain modular invariants, thereby establishing the expected existence of the corresponding two-dimensional theories.

14 pages; references added and minor improvements

Cited by in corpus (16)

• Local fields in boundary conformal QFT
• A mathematical theory of gapless edges of 2d topological orders. Part I
• Gapless edges of 2d topological orders and enriched monoidal categories
• Conformal Field Theory, Tensor Categories and Operator Algebras
• Generalized Orbifold Construction for Conformal Nets
• How to remove the boundary in CFT - an operator algebraic procedure
• Fusion rules of modular invariants
• A Remark on CFT Realization of Quantum Doubles of Subfactors. Case Index < 4
• Phase boundaries in algebraic conformal QFT
• Two-dimensional topological order and operator algebras
• Algebraic conformal quantum field theory in perspective
• Complexity in algebraic QFT
• Anyonic Chains -- $\alpha$-Induction -- CFT -- Defects -- Subfactors
• A relative tensor product of subfactors over a modular tensor category
• On local boundary CFT and non-local CFT on the boundary
• Frobenius algebras associated with the $\alpha$-induction for equivariantly braided tensor categories