Young Researchers Integrability School and Workshop (YRISW) 2019: A modern primer for 2D CFT Mitschnitt einer Veranstaltung des Internationalen Erwin Schrödinger Instituts für Mathematik und Physik (ESI) am Mittwoch, dem 13. Februar 2019 im Lise Meitner-Hörsaal der Fakultät für Physik Teil 13: Sylvain Ribault: Liouville theory Kamera: Thomas Kroyer, Kenan Vrabac Schnitt: Daniel Winkler Abstract: We will introduce conformal field theory in two dimensions, from the basic principles to some of the simplest models. From the representations of the Virasoro algebra on the one hand, and the state-field correspondence on the other hand, we will deduce Ward identities and Belavin-Polyakov-Zamolodchikov equations for correlation functions. We will then explain the principles of the conformal bootstrap method, and introduce conformal blocks. This allows us to define and solve minimal models and Liouville theory. We will also introduce the free boson with its abelian affine Lie algebra. Sylvain Ribault ist Professor am Institut de Physique Théorique (IPhT) in Saclay bei Paris. INHALT ====== Kapitel Titel Position --------------------------------------------------------------------- 1. Vorspann 00:00:00 2. Defining Liouville theory 00:00:10 3. Operator product expansion of degenerate fields 00:12:05 4. Solving the shift equations 00:24:21 5. Solving the shift equations (cont.) 00:34:30 6. Poles of the conformal block 00:48:40

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