8 papers · 1 filter
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.
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…
Symmetry breaking boundary conditions and WZW orbifolds
L. Birke, J. Fuchs, C. Schweigert
Symmetry breaking boundary conditions for WZW theories are discussed. We derive explicit formulae for the reflection coefficients in the presence of boundary conditions that preser…
Classifying algebras for boundary conditions and traces on spaces of conformal blocks
C. Schweigert, J. Fuchs
The boundary conditions of a non-trivial string background are classified. To this end we need traces on various spaces of conformal blocks, for which generalizations of the Verlin…