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 Montag, dem 11. Februar 2019 im Lise Meitner-Hörsaal der Fakultät für Physik Teil 4: Sylvain Ribault: BPZ equations - free bosons 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. Degenerate fields 00:00:10 3. Abelian affine Lie algebra 00:11:14 4. Wick's theorem 00:20:46 5. Primary fields 00:29:24 6. Local Ward entities 00:38:01 7. Questions from the audience 00:47:03

Quantenfeldtheorie, Mathematische Physik

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