Recent developments in conformal field theories

@inproceedings{RandjbarDaemi1990RecentDI,
  title={Recent developments in conformal field theories},
  author={Seif Randjbar-Daemi and Ergin Sezgin and Jean-Bernard Zuber},
  year={1990}
}
This book is related to the following topics: A case study in finite groups; Temperley lieb algebras; Strings in an expanded universe; and Chiral splitting and unitarity of closed superstrings. 
Conformal field theory and graphs
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 embeddings of
Modern Quantum Field Theory ON VARIOUS AVATARS OF THE PASQUIER ALGEBRA
A Pasquier algebra is a commutative associative algebra of normal matrices attached to a graph. I review various appearances of such algebras in different contexts: operator product algebras and
Conformal, integrable and topological theories, graphs and Coxeter groups
I review three different problems occuring in two dimensional field theory: 1) classification of conformal field theories; 2) construction of lattice integrable realizations of the latter; 3)
On quantum symmetries of the non–ADE graph F4
We describe quantum symmetries associated with the F4 Dynkin diagram. Our study stems from an analysis of the (Ocneanu) modular splitting equation applied to a partition function which is invariant
Conformal Boundary Conditions
The question of boundary conditions in conformal field theories is discussed, in the light of recent progress. Solving the consistency condition known as Cardy equation is shown to amount to the
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