167 citations · 637 across the 50 of their papers we have counts for
16 papers · 1 filter
Relative Entropy in CFT
Roberto Longo, Feng Xu
By using Araki's relative entropy, Lieb's convexity and the theory of singular integrals, we compute the mutual information associated with free fermions, and we deduce many result…
Jones-Wassermann subfactors for modular tensor categories
Zhengwei Liu, Feng Xu
The representation theory of a conformal net is a unitary modular tensor category. It is captured by the bimodule category of the Jones-Wassermann subfactor. In this paper, we cons…
Examples of subfactors from conformal field theory
Feng Xu
Conformal field theory (CFT) in two dimensions provide a rich source of subfactors. The fact that there are so many subfactors coming from CFT have led people to conjecture that pe…
On examples of intermediate subfactors from conformal field theory
Feng Xu
Motivated by our subfactor generalization of Wall's conjecture, in this paper we determine all intermediate subfactors for conformal subnets corresponding to four infinite series o…
N=2 superconformal nets
Sebastiano Carpi, Robin Hillier, Yasuyuki Kawahigashi +2
We provide an Operator Algebraic approach to N=2 chiral Conformal Field Theory and set up the Noncommutative Geometric framework. Compared to the N=1 case, the structure here is mu…
On a subfactor generalization of Wall's conjecture
Robert Guralnick, Feng Xu
In this paper we discuss a conjecture on intermediate subfactors which is a generalization of Wall's conjecture from the theory of finite groups. We explore special cases of this c…
On intermediate subfactors of Goodman-de la Harpe-Jones subfactors
Feng Xu
In this paper we present a conjecture on intermediate subfactors which is a generalization of Wall's conjecture from the theory of finite groups. Motivated by this conjecture, we d…
On Affine Orbifold Nets Associated with Outer Automorphisms
Feng Xu
We construct solitons in affine orbifold nets associated with outer automorphisms, and we show that our construction gives all the twisted representations of the fixed point subnet…
An application of Mirror extensions
Feng Xu
In this paper we apply our previous results of mirror extensions to obtain realizations of three modular invariants constructed by A. N. Schellekens by holomorphic conformal nets w…
On representing some lattices as lattices of intermediate subfactors of finite index
Feng Xu
We prove that the very simple lattices which consist of a largest, a smallest and pairwise incomparable elements where is a positive integer can be realized as the lattice…
Some computations in the cyclic permutations of completely rational nets
Feng Xu
In this paper we calculate certain chiral quantities from the cyclic permutation orbifold of a general completely rational net. We determine the fusion of a fundamental soliton, an…
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…
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…
Solitons in Affine and Permutation Orbifolds
Victor G. Kac, Roberto Longo, Feng Xu
We consider properties of solitons in general orbifolds in the algebraic quantum field theory framework and constructions of solitons in affine and permutation orbifolds. Under gen…
Topological Sectors and a Dichotomy in Conformal Field Theory
Roberto Longo, Feng Xu
Let A be a local conformal net of factors on the circle with the split property. We provide a topological construction of soliton representations of the tensor product of n copies…
Algebraic Coset Conformal field theories
Feng Xu
All unitary Rational Conformal Field Theories (RCFT) are conjectured to be related to unitary coset Conformal Field Theories, i.e., gauged Wess-Zumino-Witten (WZW) models with comp…