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Cours du LPTMS
Introduction to Conformal Field Theory
The conformal field theory (CFT) approach aims to find the solutions of the infinite set of equations imposed by conformal invariance. This approach has been successfully employed in diverse areas of physics and mathematics for almost thirty years. We will survey the basics ideas of the CFT approach trying to minimize as much as possible the many technicalities hidden behind. We will see some (recent) applications on these concepts on 1D(2D) quantum(statistical) systems and in quantum topological states .