Speaker
Prof.
Vaughan Jones
(Berkeley)
Description
A subfactor is functional analytic object with highly combinatorial structure theory.
Subfactors arise in various ways in conformal field theory via monodromy of n-point
functions or more simply via commutation of local observable algebras. Subfactor
technology has undergone many advances recently with a classification program
for subfactors of small index. We meet subfactors that are do not arise from any
currently know conformal field theory but there seems to be no reason that such
CFT's do not exist, indeed Evans and Gannon give some evidence that such
CFT's do exist in the context of Vertex operator algebras. We will describe some
of these "exotic" subfactors and suggest ways in which CFT's might be made out
of them.
Author
Prof.
Vaughan Jones
(Berkeley)
