Is there a vector space whose dimension is the golden ratio? Of course not--the golden ratio
is not an integer! But this can happen for generalizations of vector spaces--objects of a …

We formulate rational conformal field theory in terms of a symmetric special Frobenius
algebra A and its representations. A is an algebra in the modular tensor category of Moore …

As an application of the general theory established in the first part, we determine the
structure of Longo–Rehren inclusions for several systems of sectors arising from …

We consider the set of partition functions that result from the insertion of twist operators
compatible with conformal invariance in a given 2D conformal field theory (CFT). A …

We study topological defect lines in two-dimensional rational conformal field theory.
Continuous variation of the location of such a defect does not change the value of a …

The goal of this paper is to give a category theory based definition and classification of “finite
subgroups in Uq (sl 2)” where q= eπi/l is a root of unity. We propose a definition of such a …

Instead of studying anyon condensation in various concrete models, we take a bootstrap
approach by considering an abstract situation, in which an anyon condensation happens in …

We consider certain categorical structures that are implicit in subfactor theory. Making the
connection between subfactor theory (at finite index) and category theory explicit sheds light …

This paper surveys the long-standing connections and impact between Vaughan Jones's
theory of subfactors and various topics in mathematical physics, namely statistical …

We develop further the theory of Rational Conformal Field Theories (RCFTs) on a cylinder
with specified boundary conditions emphasizing the role of a triplet of algebras: the Verlinde …