12 papers · 1 filter
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…
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 (…
Solitonic sectors, conformal boundary conditions and three-dimensional topological field theory
C. Schweigert, J. Fuchs
The correlation functions of a two-dimensional rational conformal field theory, for an arbitrary number of bulk and boundary fields and arbitrary world sheets can be expressed in t…
Bundles of chiral blocks and boundary conditions in CFT
J. Fuchs, C. Schweigert
Various aspects of spaces of chiral blocks are discussed. In particular, conjectures about the dimensions of irreducible sub-bundles are reviewed and their relation to symmetry bre…