3 papers
hep-th2003
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…
math.QA2002
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…
hep-th2001
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…