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Boundary conditions in charge conjugate sl(N) WZW theories
V. B. Petkova, J. -B. Zuber
We compute the representations (``nimreps'') of the fusion algebra of affine sl(N), which determine the boundary conditions of sl(N) WZW theories twisted by the charge conjugation.…
Conformal Field Theories, Graphs and Quantum Algebras
Valentina Petkova, Jean-Bernard Zuber
This article reviews some recent progress in our understanding of the structure of Rational Conformal Field Theories, based on ideas that originate for a large part in the work of…
BCFT: from the boundary to the bulk
V. B. Petkova, J. -B. Zuber
The study of boundary conditions in rational conformal field theories is not only physically important. It also reveals a lot on the structure of the theory ``in the bulk''. The sa…
CFT, BCFT, ADE and all that
Jean-Bernard Zuber
These pedagogical lectures present some material, classical or more recent, on (Rational) Conformal Field Theories and their general setting ``in the bulk'' or in the presence of a…
Generalized Dynkin diagrams and root systems and their folding
Jean-Bernard Zuber
Graphs which generalize the simple or affine Dynkin diagrams are introduced. Each diagram defines a bilinear form on a root system and thus a reflection group. We present some prop…
C-algebras and their applications to reflection groups and conformal field theories
Jean-Bernard Zuber
The aim of this lecture is to present the concept of C-algebra and to illustrate its applications in two contexts: the study of reflection groups and their folding on the one hand,…