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math.OA2021
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.
math.QA2021
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…
math.QA2021★ 2 cited
Sewing and Propagation of Conformal Blocks
Bin Gui
We clarify the relations between sewing and propagating conformal blocks. In particular, we show that sewing and propagation and commuting procedures. As an application, we give a…