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They are intended as an introduction to conformal field theories in various dimensions, with applications related to topics of particular interest: topics include the conformal bootstrap program, boundary conformal field theory, and applications related to the AdS/CFT correspondence. We review the construction of the exact solution of the model from the functional integral point of view. Gawedzki, Krzysztof; Abstract. Pub Date: April … C Math. Sci. This question is becoming a popular leitmotiv in theoretical physics and in mathematics. Ser. Sci., 250, Kluwer Acad. We discuss how they appear in this role in the Wess-Zumino-Witten model of conformal eld theory. Cite this chapter as: Gawedzki K. (1993) Quantum Group Symmetries in Conformal Field Theory. Krzysztof Gawedzki, Conformal field theory: a case study (arXiv:hep-th/9904145) Ingo Runkel, Boundary problems in conformal field theory . Publication: arXiv e-prints . In the statistical mechanics context, the … [Ga] K. Gawedzki, Lectures on conformal eld theory, in Quantum Fields and Strings: a Course for Math-ematicians, Vol. What is quantum geometry? 1. This is a set of introductory lecture notes devoted to the Wess-Zumino-Witten model of two-dimensional conformal field theory. In: Araki H., Ito K.R., Kishimoto A., Ojima I. Phys. Publ., Dordrecht, (1988), 165-171. These … Conformal field theory: a case study ... Gawedzki, Krzysztof; Abstract. These lectures are designed as a possible introduction to conformal field theory (CFT), a subject which has been developing fast in recent years, stimulated by its applications to critical phenomena in two dimensions and to string theory. The definition of conformal field theory, in Differential geometrical methods in theoretical physics (Como, 1987), NATO Adv. [G1] N. Giansiracusa: Conformal blocks and rational normal curves, arXiv:1012.4835 [G2] N. Giansiracusa, A. Gibney: The cone of type A, level one conformal blocks divisors, Advances in Mathematics 231 … Extended version of … Math. For the sake of concreteness, we shall concentrate on a specific case of the theory: the Wess-Zumino-Witten (WZW) models of two-dimensional quantum field theory. We review global aspects of the geometry of conformal fields, such as duality and mirror symmetry, and interpret them within Connes' non-commutative geometry. WZW model Wess-Zumino-Witten (WZW) model[1] occupiesan important … 1, 2 (Princeton, NJ, 1996/1997), 727805, Amer. Two-dimensional conformal field theories and … The boundary version of the theory is also briefly discussed. Inst. Logarithmic conformal field theory: beyond an introduction Thomas Creutzig and David Ridout-What the characters of irreducible subrepresentations of Jordan cells can tell us about LCFT Michael Flohr and Michael Koehn-Topical review J Teschner-Recent citations - Shashank Kanade and David Ridout On tensionless string field theory in AdS3 Joris Raeymaekers-Idea of multi cohesive areas - foundation, … We assume the reader to be familiar with quantum mechanics at the graduate level and to have some basic … Conformal Field Theory In contrast to the condensed matter description of quasi-particles of the previous section, the study of the 1 M excitation energies is much more recent and, in particular, the most remarkable progress has been made only in the last decade starting with the seminal work of Belavin, Polyakov and Zamolodchikov [1] on conformal field theory. Conformal field theory may catch a glimpse of the right answer. Quantum Group Symmetries in Conformal Field Theory KRZYSZTOF GAWEDZKI CNRS, IHES, 91440 Bures-sur-Yvette, France Abstract.1 Quantumgroups play therole of hiddensymmetries of some two-dimensional eld theories. Soc., Providence, RI, 1999.

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