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 Donnerstag, dem 14. Februar 2019 im Lise Meitner-Hörsaal der Fakultät für Physik Teil 18: Thomas Creutzig: W-algebras part 3 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. The universal affine vertex operator algebra 00:00:10 3. Linshaw's theorem on cosets 00:06:53 4. Quantum Hamiltonian reductions 00:14:01 5. Definition of the W-algebra 00:26:51 6. Conformal weight of a strong generator 00:34:01 7. Hamiltonian reduction as a kernel of screenings 00:40:32

W-Algebra, Mathematische Physik

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