Jürgen Fuchs | Karlstads universitet

English

Publikationer

Internal Natural Transformations and Frobenius Algebras in the Drinfeld Center
Jürgen Fuchs, Christoph Schweigert, 2023
Tetrahedral symmetry of 6j-symbols in fusion categories
Jürgen Fuchs, Tobias Grøsfjeld, 2023
A Modular Functor From State Sums For Finite Tensor Categories And Their Bimodules
Jürgen Fuchs, Gregor Schaumann, Christoph Schweigert, 2022
Correlators from String Nets
Jürgen Fuchs, Christoph Schweigert, Yang Yang, 2022
Correlators in Rational Conformal Field Theory
Jürgen Fuchs, Christoph Schweigert, Yang Yang, 2022
Correlators of Particular Interest
Jürgen Fuchs, Christoph Schweigert, Yang Yang, 2022
Internal Eckmann–Hilton Relation
Jürgen Fuchs, Christoph Schweigert, Yang Yang, 2022
Introduction
Jürgen Fuchs, Christoph Schweigert, Yang Yang, 2022
Outlook - Universal Correlators
Jürgen Fuchs, Christoph Schweigert, Yang Yang, 2022
Preface
Jürgen Fuchs, Christoph Schweigert, Yang Yang, 2022
Bulk from boundary in finite CFT by means of pivotal module categories
Jürgen Fuchs, C. Schweigert, 2021
Matrix product operator symmetries and intertwiners in string-nets with domain walls
Laurens Lootens, Jürgen Fuchs, Jutho Haegeman, Christoph Schweigert, Frank Verstraete, 2021
Eilenberg-Watts calculus for finite categories and a bimodule Radford S4 theorem
Jürgen Fuchs, Gregor Schaumann, Christoph Schweigert, 2020
Mapping class group representations from Drinfeld doubles of finite groups
Jens Fjelstad, Jürgen Fuchs, 2020
Full Logarithmic Conformal Field theory — an Attempt at a Status Report - LMS/EPSRC Durham Symposium on Higher Structures in M-Theory
Jürgen Fuchs, C. Schweigert, 2019
The logarithmic Cardy case - Boundary states and annuli
Jürgen Fuchs, Terry Gannon, Gregor Schaumann, Christoph Schweigert, 2018
A trace for bimodule categories
Jürgen Fuchs, Gregor Schaumann, Christoph Schweigert, 2017
Coends in conformal field theory
Jürgen Fuchs, Christoph Schweigert, 2017
Consistent systems of correlators in non-semisimple conformal field theory
Jürgen Fuchs, Christoph Schweigert, 2017
Low-dimensional topology, low-dimensional field theory and representation theory
Jürgen Fuchs, Christoph Schweigert, 2017
Categorical tools for state sum constructions
Jürgen Fuchs, Christoph Schweigert, 2016
Symmetries and defects in three-dimensional topological field theory
Jürgen Fuchs, Christoph Schweigert, 2016
On the Brauer Groups of Symmetries of Abelian Dijkgraaf-Witten Theories
Jürgen Fuchs, Jan Priel, Christoph Schweigert, Alessandro Valentino, 2015
On the Killing form of Lie Algebras in Symmetric Ribbon Categories
Igor Buchberger, Jürgen Fuchs, 2015
Surface defects and symmetries
Jürgen Fuchs, Christoph Schweigert, 2015
A geometric approach to boundaries and surface defects in Dijkgraaf-Witten theories
Jürgen Fuchs, Christoph Schweigert, Alessandro Valentino, 2014
A note on permutation twist defects in topological bilayer phases
Jürgen Fuchs, Christoph Schweigert, 2014
Conformal Field Theories and Tensor Categories - Proceedings of a Workshop Held at Beijing International Center for Mathematical Research
Redaktör, 2014
Higher genus mapping class group invariants from factorizable Hopf algebras
Jürgen Fuchs, Christoph Schweigert, Carl Stigner, 2014
Bicategories for boundary conditions and for surface defects in 3-d TFT
Jürgen Fuchs, Christoph Schweigert, Allessandro Valentino, 2013
From non-semisimple Hopf algebras to correlation functions for logarithmic CFT
Jürgen Fuchs, Christoph Schweigert, Carl Stigner, 2013
Partition functions, mapping class groups and Drinfeld doubles
Jens Fjelstad, Jürgen Fuchs, Carl Stigner, Christoph Schweigert, 2013
The Cardy-Cartan modular invariant
Jürgen Fuchs, Christoph Schweigert, 2013
Algebra, Geometry, and Mathematical Physics 2010
Redaktör, 2012
Hopf algebras and Frobenius algebras in finite tensor categories
Jürgen Fuchs, Christoph Schweigert, 2012
Modular invariant Frobenius algebras from ribbon Hopf algebra automorphisms
Jürgen Fuchs, Christoph Schweigert, Carl Stigner, 2012
RCFT with defects - Factorization and fundamental world sheets
Jens Fjelstad, Jürgen Fuchs, Carl Stigner, 2012
Algebra, Geometry and Mathematical Physics - the V Baltic-Nordic Workshop "Algebra, Geometry and Mathematical Physics" held at the Be̜dlewo Conference Center on October 12 - 16, 2009
Redaktör, 2011
The classifying algebra for defects
Jürgen Fuchs, Christoph Schweigert, Carl Stigner, 2011
Defect lines, dualities, and generalised orbifolds
Jürgen Fuchs, Jürg Fröhlich, Ingo Runkel, Christoph Schweigert, 2010
Hopf algebras and finite tensor categories in conformal field theory
Jürgen Fuchs, Christoph Schweigert, 2010
Module categories for permutation modular invariants
Jürgen Fuchs, Till Barmeier, Ingo Runkel, Christoph Schweigert, 2010
Noncommutative Structures in Mathematics and Physics
Redaktör, 2010
On the Rosenberg-Zelinsky sequence in abelian monoidal categories
Jürgen Fuchs, Till Barmeier, Ingo Runkel, Christoph Schweigert, 2010
The three-dimensional origin of the classifying algebra
Jürgen Fuchs, Christoph Schweigert, Carl Stigner, 2010
Twenty-five years of two-dimensional rational conformal field theory
Jürgen Fuchs, Ingo Runkel, Christoph Schweigert, 2010
Bundle gerbes and surface holonomy
Jürgen Fuchs, Thomas Nikolaus, Christoph Schweigert, Konrad Waldorf, 2009
Bi-branes: Target space geometry for world sheet topological defects
Jürgen Fuchs, C. Schweigert, K. Waldorf, 2008
On Frobenius algebras in rigid monoidal categories
Jürgen Fuchs, Carl Stigner, 2008
The fusion algebra of bimodule categories
Jürgen Fuchs, I. Runkel, C. Schweigert, 2008
Uniqueness of open/closed rational CFT with given algebra of open states
J. Fjelstad, Jürgen Fuchs, I. Runkel, C. Schweigert, 2008
Duality and defects in rational conformal field theory
Jürgen Fuchs, J. Fröhlich, I. Runkel, C. Schweigert, 2007
On non-semisimple fusion rules and tensor categories
Jürgen Fuchs, 2007
Ribbon categories and (unoriented) CFT: Frobenius algebras, automorphisms, reversions
Jürgen Fuchs, I. Runkel, C. Schweigert, 2007
Topological and conformal field theory as Frobenius algebras
J. Fjelstad, Jürgen Fuchs, I. Runkel, C. Schweigert, 2007
Topological defects for the free boson CFT
Jürgen Fuchs, M. R. Gaberdiel, I. Runkel, C. Schweigert, 2007
Twining characters and Picard groups in rational conformal field theory
Jürgen Fuchs, I. Runkel, C. Schweigert, 2007
Categorification and correlation functions in conformal field theory
Christoph Schweigert, Jürgen Fuchs, Ingo Runkel, 2006
Correspondences of ribbon categories
Jürg Fröhlich, Jürgen Fuchs, Ingo Runkel, Christoph Schweigert, 2006
TFT construction of RCFT correlators V: Proof of modular invariance and factorisation
J. Fjelstad, Jürgen Fuchs, I. Runkel, C. Schweigert, 2006
The graphical calculus for ribbon categories: Algebras, modules, Nakayama automorphisms
Jürgen Fuchs, 2006
On the geometry of coset branes
Jürgen Fuchs, Albrecht Wurtz, 2005
TFT construction of RCFT correlators IV: Structure constants and correlation functions
Jürgen Fuchs, I. Runkel, C. Schweigert, 2005
Algebras in tensor categories and coset conformal field theories
Jürg Fröhlich, Jürgen Fuchs, Ingo Runkel, Christoph Schweigert, 2004
Kramers-Wannier duality from conformal defects
Jürgen Fuchs, J. Fröhlich, I. Runkel, C. Schweigert, 2004
Lie algebras, Fuchsian differential equations and CFT correlation functions
Jürgen Fuchs, I. Runkel, C. Schweigert, 2004
Nonsemisimple fusion algebras and the Verlinde formula
Jürgen Fuchs, Stephen Hwang, A.M. Semikhatov, I.Y. Tipunin, 2004
TFT construction of RCFT correlators II: Unoriented world sheets
Jürgen Fuchs, I. Runkel, C. Schweigert, 2004
TFT construction of RCFT correlators III: Simple currents
Jürgen Fuchs, I. Runkel, C. Schweigert, 2004
Boundaries, defects and Frobenius algebras
Jürgen Fuchs, I. Runkel, C. Schweigert, 2003
Category theory for conformal boundary conditions
Jürgen Fuchs, C. Schweigert, 2003
Open strings and 3d topological field theory
Jürgen Fuchs, I. Runkel, C. Schweigert, 2003
Strings, symmetries and representations
C. Schweigert, I. Runkel, Jürgen Fuchs, 2003
The world sheet revisited
Christoph Schweigert, Jürgen Fuchs, 2003
A reason for fusion rules to be even
Jürgen Fuchs, I. Runkel, C. Schweigert, 2002
Conformal boundary conditions and 3D topological field theory
Jürgen Fuchs, I. Runkel, C. Schweigert, 2002
Conformal correlation functions, Frobenius algebras and triangulations
Jürgen Fuchs, I. Runkel, C. Schweigert, 2002
Correlation functions and boundary conditions in RCFT and three-dimensional topology
Giovanni Felder, Jürg Fröhlich, Christoph Schweigert, Jürgen Fuchs, 2002
Lie algebra automorphisms in conformal field theory
Jürgen Fuchs, C. Schweigert, 2002
Logarithmic conformal field theories via logarithmic deformations
Jens Fjelstad, Jürgen Fuchs, Stephen Hwang, A.M. Semikhatov, I.Yu. Tipunin, 2002
TFT construction of RCFT correlators I: Partition functions
Jürgen Fuchs, I. Runkel, C. Schweigert, 2002
Boundary fixed points, enhanced gauge symmetry and singular bundles on K3
Jürgen Fuchs, P. Kaste, W. Lerche, A. Lütken, C. Schweigert, J. Walcher, 2001
Boundaries, crosscaps and simple currents
Jürgen Fuchs, L.R. Huiszoon, A.N. Schellekens, C. Schweigert, J. Walcher, 2000
Bundles of chiral blocks and boundary conditions in CFT
Jürgen Fuchs, Christoph Schweigert, 2000
Conformal boundary conditions and three-dimensional topological field theory
Giovanni Felder, Jürg Fröhlich, Jürgen Fuchs, Christoph Schweigert, 2000
Projections in string theory and boundary states for Gepner models
Jürgen Fuchs, C. Schweigert, J. Walcher, 2000
Solitonic sectors, alpha-induction and symmetry breaking boundaries
Jürgen Fuchs, C. Schweigert, 2000
Symmetry breaking boundaries II. More structures; examples
Jürgen Fuchs, C. Schweigert, 2000
The geometry of WZW branes
G. Felder, J. Fröhlich, Jürgen Fuchs, C. Schweigert, 2000
Classifying algebras for boundary conditions and traces on spaces of conformal blocks
Christoph Schweigert, Jürgen Fuchs, 1998
D-brane conformal field theory
Jürgen Fuchs, Christoph Schweigert, 1998