17 papers
Lie algebras, Fuchsian differential equations and CFT correlation functions
Jürgen Fuchs, Ingo Runkel, Christoph Schweigert
Affine Kac-Moody algebras give rise to interesting systems of differential equations, so-called Knizhnik-Zamolodchikov equations. The monodromy properties of their solutions can be…
An algorithm for twisted fusion rules
T. Quella, I. Runkel, C. Schweigert
We present an algorithm for an efficient calculation of the fusion rules of twisted representations of untwisted affine Lie algebras. These fusion rules appear in WZW orbifold theo…
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…
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.
D-branes in group manifolds and flux stabilization
Christoph Schweigert
We consider D-branes in group manifolds, from the point of view of open strings and using the Born-Infeld action on the brane worldvolume. D-branes correspond to certain integral (…