383 citations · 818 across the 19 of their papers we have counts for
8 papers · 1 filter
The classifying algebra for defects
Jurgen Fuchs, Christoph Schweigert, Carl Stigner
We demonstrate that topological defects in a rational conformal field theory can be described by a classifying algebra for defects - a finite-dimensional semisimple unital commutat…
Hopf algebras and finite tensor categories in conformal field theory
Jurgen Fuchs, Christoph Schweigert
In conformal field theory the understanding of correlation functions can be divided into two distinct conceptual levels: The analytic properties of the correlators endow the repres…
Twenty-five years of two-dimensional rational conformal field theory
Jürgen Fuchs, Ingo Runkel, Christoph Schweigert
In this article we try to give a condensed panoramic view of the development of two-dimensional rational conformal field theory in the last twenty-five years.
Algebras in tensor categories and coset conformal field theories
J"urg Fr"ohlich, J"urgen Fuchs, Ingo Runkel +1
The coset construction is the most important tool to construct rational conformal field theories with known chiral data. For some cosets at small level, so-called maverick cosets,…
Nonsemisimple Fusion Algebras and the Verlinde Formula
J. Fuchs, S. Hwang, A. M. Semikhatov +1
We find a nonsemisimple fusion algebra F_p associated with each (1,p) Virasoro model. We present a nonsemisimple generalization of the Verlinde formula which allows us to derive F_…
TFT construction of RCFT correlators I: Partition functions
Jürgen Fuchs, Ingo Runkel, Christoph Schweigert
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-Se…
Lectures on conformal field theory and Kac-Moody algebras
J. Fuchs
This is an introduction to the basic ideas and to a few further selected topics in conformal quantum field theory and in the theory of Kac-Moody algebras.
Modular invariants and fusion rule automorphisms from Galois theory
Jürgen Fuchs, Beatriz Gato-Rivera, Bert Schellekens +1
We show that Galois theory of cyclotomic number fields provides a powerful tool to construct systematically integer-valued matrices commuting with the modular matrix S, as well as…