4 papers · 1 filter
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…
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…