11 papers
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.
Lie algebra automorphisms in conformal field theory
J. Fuchs, C. Schweigert
The role of automorphisms of infinite-dimensional Lie algebras in conformal field theory is examined. Two main types of applications are discussed; they are related to the enhancem…
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…
D-brane conformal field theory and bundles of conformal blocks
J. Fuchs, C. Schweigert
Conformal blocks form a system of vector bundles over the moduli space of complex curves with marked points. We discuss various aspects of these bundles. In particular, we present…