6 papers
Virasoro Symmetry in a 2h-dimensional Model and Its Implications
P. Furlan, V. B. Petkova
The set of two partial differential equations for the Appell hypergeometric function in two variables F_4(a,b,c,a+b-c+2-h,x,y) is shown to arise as a null vector decoupling relatio…
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…
Fusion Rings Related to Affine Weyl Groups
P. Furlan, V. B. Petkova
The construction of the fusion ring of a quasi-rational CFT based on at generic level is reviewed. It is a commutative ring generated by formal…
Conformal field theory and graphs
V. B. Petkova, J. -B. Zuber
We review a method of construction of exceptional graphs generalising the ADE Dynkin diagrams which encode the spectrum of conformal field theories described by conformal embedding…