293 citations · 1.7k across the 53 of their papers we have counts for
57 papers
String-net construction of RCFT correlators
Jürgen Fuchs, Christoph Schweigert, Yang Yang
We use string-net models to accomplish a direct, purely two-dimensional, approach to correlators of two-dimensional rational conformal field theories. We obtain concise geometric e…
Tetrahedral symmetry of 6j-symbols in fusion categories
Jürgen Fuchs, Tobias Grøsfjeld
We establish tetrahedral symmetries of 6j-symbols for arbitrary fusion categories under minimal assumptions. As a convenient tool for our calculations we introduce the notion of a…
Bulk from boundary in finite CFT by means of pivotal module categories
Jürgen Fuchs, Christoph Schweigert
We present explicit mathematical structures that allow for the reconstruction of the field content of a full local conformal field theory from its boundary fields. Our framework is…
Matrix product operator symmetries and intertwiners in string-nets with domain walls
Laurens Lootens, Jürgen Fuchs, Jutho Haegeman +2
We provide a description of virtual non-local matrix product operator (MPO) symmetries in projected entangled pair state (PEPS) representations of string-net models. Given such a P…
Full Logarithmic Conformal Field theory - an Attempt at a Status Report
Jürgen Fuchs, Christoph Schweigert
Logarithmic conformal field theories are based on vertex algebras with non-semisimple representation categories. While examples of such theories have been known for more than 25 ye…
The logarithmic Cardy case: Boundary states and annuli
Jürgen Fuchs, Terry Gannon, Gregor Schaumann +1
We present a model-independent study of boundary states in the Cardy case that covers all conformal field theories for which the representation category of the chiral algebra is a…