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 Freitag, dem 15. Februar 2019 im Boltzmann-Hörsaal der Fakultät für Physik Teil 23: Thomas Creutzig: W-algebras part 4 Kamera: Thomas Kroyer, Kenan Vrabac Schnitt: Daniel Winkler Abstract: W-algebras appear as the symmetry algebra of many interesting conformal field theories. They are defined as quantum Hamiltonian reductions, but they can also be realized as coset vertex algebras. The aim of the lectures is to introduce W-algebras and their different realizations. We will see that W-algebras and their representation theory are closely connected to the WZW-theories. As application I want to explain the role of W-algebras in S-duality for certain 4-dimensional supersymmetric gauge theories. Thomas Creutzig ist Assistenzprofessor am Department of Mathematical and Statistical Sciences der University of Alberta. INHALT ====== Kapitel Titel Position --------------------------------------------------------------------- 1. Vorspann 00:00:00 2. Definition of the W-algebra 00:00:10 3. Example: regular embedding of SL(2) in SL(n) 00:04:27 4. Theorem by Arakawa, Creutzig and Linshaw 00:10:23 5. Wakimoto's free field realisation 00:23:43 6. Free field realization of SL(2) 00:35:54 7. Questions from the audience 00:46:51

W-Algebra, Mathematische Physik

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