383 citations · 4.2k across the 131 of their papers we have counts for
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Completeness of boundary conditions for the critical three-state Potts model
J. Fuchs, C. Schweigert
We show that the conformally invariant boundary conditions for the three-state Potts model are exhausted by the eight known solutions. Their structure is seen to be similar to the…
The action of outer automorphisms on bundles of chiral blocks
J. Fuchs, C. Schweigert
On the bundles of WZW chiral blocks over the moduli space of a punctured rational curve we construct isomorphisms that implement the action of outer automorphisms of the underlying…
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…
D-brane conformal field theory
J. Fuchs, C. Schweigert
We outline the structure of boundary conditions in conformal field theory. A boundary condition is specified by a consistent collection of reflection coefficients for bulk fields o…
Branes: from free fields to general backgrounds
J. Fuchs, C. Schweigert
Motivated by recent developments in string theory, we study the structure of boundary conditions in arbitrary conformal field theories. A boundary condition is specified by two typ…