5 papers
Minkowskian open/closed conformal field theory possibly without vacuum: the Cardy case
Bin Gui
For any conformal net, not necessarily rational, we construct the associated Cardy-type conformal field theory on the Minkowski spacetimes …
Analytic Conformal Blocks of -cofinite Vertex Operator Algebras I: Propagation and Dual Fusion Products
Bin Gui, Hao Zhang
This is the first paper of a three-part series in which we develop a theory of conformal blocks for -cofinite vertex operator algebras (VOAs) that are not necessarily rational…
Unbounded field operators in categorical extensions of conformal nets
Bin Gui
We prove the equivalence of VOA tensor categories and conformal net tensor categories for the following examples: all WZW models; all lattice VOAs; all unitary parafermion VOAs; ty…
On a Connes Fusion Approach to Finite Index Extensions of Conformal Nets
Bin Gui
In this note, we explain how to prove several basic results about finite index extensions of irreducible local Möbius covariant nets in the setting of Connes fusion.
Genus-zero Permutation-twisted Conformal Blocks for Tensor Product Vertex Operator Algebras: The Tensor-factorizable Case
Bin Gui
For a vertex operator algebra , we construct an explicit isomorphism between the space of genus-0 conformal blocks associated to permutation-twisted -modules and…