4 papers · 1 filter
Perturbed Defects and T-Systems in Conformal Field Theory
Ingo Runkel
Defect lines in conformal field theory can be perturbed by chiral defect fields. If the unperturbed defects satisfy su(2)-type fusion rules, the operators associated to the perturb…
From boundary to bulk in logarithmic CFT
Matthias R. Gaberdiel, Ingo Runkel
The analogue of the charge-conjugation modular invariant for rational logarithmic conformal field theories is constructed. This is done by reconstructing the bulk spectrum from a s…
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…
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…