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. 
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49 Citations
Background Citations
8
Methods Citations
3
Results Citations
1

49 Citations

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 the classification of bulk and boundary conformal field theories
A two-parameter deformation of the SU (1|1) superalgebra and the XY quantum chain in a magnetic field
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…
Quantum groups, correlation functions and infrared divergences
Spin chains viewed as the fermionic parts of supersymmetric quantum mechanical models
Torus structure on graphs and twisted partition functions for minimal and affine models
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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