383 citations · 4.2k across the 131 of their papers we have counts for
6 papers · 1 filter
A reason for fusion rules to be even
Juergen Fuchs, Ingo Runkel, Christoph Schweigert
We show that certain tensor product multiplicities in semisimple braided sovereign tensor categories must be even. The quantity governing this behavior is the Frobenius-Schur indic…
Conformal boundary conditions and 3D topological field theory
J. Fuchs, I. Runkel, C. Schweigert
Topological field theory in three dimensions provides a powerful tool to construct correlation functions and to describe boundary conditions in two-dimensional conformal field theo…
Conformal Correlation Functions, Frobenius Algebras and Triangulations
J. Fuchs, I. Runkel, C. Schweigert
We formulate two-dimensional rational conformal field theory as a natural generalization of two-dimensional lattice topological field theory. To this end we lift various structures…
Flux stabilization in compact groups
Pedro Bordalo, Sylvain Ribault, Christoph Schweigert
We consider the Born-Infeld action for symmetry-preserving, orientable D-branes in compact group manifolds. We find classical solutions that obey the flux quantization condition. T…
Category theory for conformal boundary conditions
J. Fuchs, C. Schweigert
We study properties of the category of modules of an algebra object A in a tensor category C. We show that the module category inherits various structures from C, provided that A i…
The world sheet revisited
C. Schweigert, J. Fuchs
We investigate the mathematical structure of the world sheet in two-dimensional conformal field theories.