activity
19992005
most citedStrong additivity and conformal nets

6 citations · 10 across the 4 of their papers we have counts for

collaborators

6 papers

math.QA2005

Mirror extensions of local nets

Feng Xu

In this paper we prove a general theorem on the extensions of local nets which was inspired by recent examples of exotic extensions for Virasoro nets with central charge less than…

math.OA2004

Conformal Nets Associated with Lattices and Their Orbifolds

Chongying Dong, Feng Xu

In this paper we study representations of conformal nets associated with positive definite even lattices and their orbifolds with respect to isometries of the lattices. Using previ…

math.OA20044 cited

Intersections of finite families of finite index subfactors

Vaughan F. R. Jones, Feng Xu

We prove that finiteness of the index of the intersection of a finite set of finite index subalgebras in a von Neumann algebra (with small centre) is equivalent to the finite dimen…

math.QA20036 cited

Strong additivity and conformal nets

Feng Xu

We show that the fixed point subnet of a strongly additive conformal net under the action of a compact group is strongly additive. Using the idea of the proof we define the notion…

math.GT1999

3-manifold invariants from cosets

Feng Xu

We construct unitary modular categories for a general class of coset conformal field theories based on our previous study of these theories in the algebraic quantum field theory fr…

math.RT1999

On a Conjecture of Kac-Wakimoto

Feng Xu

We prove a conjecture about mininmal index of certain representations of Coset Algebraic Conformal Field Theories under general conditions as formulated previously by us. As a by-p…