401-4812-14L Conformal Field Theory
Semester | Frühjahrssemester 2019 |
Dozierende | G. Felder |
Periodizität | einmalige Veranstaltung |
Lehrsprache | Englisch |
Kurzbeschreibung | Introduction and selected topics in 2-dimensional conformal field theory. |
Lernziel | Introduction and selected topics in 2-dimensional conformal field theory. Conformal invariance in quantum field theory and statistical mechanics. Representation theory of the Virasoro algebra and affine Kac-Moody algebras. Massless free field. Conformal blocks and intertwining operators. Minimal models. Conformal bootstrap. Wess-Zumino-Witten model and Knizhnik-Zamolodchikov equation. Vertex algebras. If time permits, we will look at new developments, such as the description of Virasoro conformal blocks from the AGT conjecture. |
Inhalt | Introduction and selected topics in 2 dimensional conformal field theory. Conformal invariance in quantum field theory and statistical mechanics. Representation theory of the Virasoro algebra and affine Kac-Moody algebras. Massless free field. Conformal blocks and intertwining operators. Minimal models. Conformal bootstrap. Wess-Zumino-Witten model and Knizhnik-Zamolodchikov equation. Vertex algebras. If time permits, we will look at new developments, such as the description of Virasoro conformal blocks from the AGT conjecture. |
Literatur | John Cardy, Conformal Field Theory and Statistical Mechanics, Les Houches lecture notes 2008, Link Krzysztof Gawezki, Conformal field theory a case study, Link Matthias Gaberdiel, An Introduction to Conformal Field Theory, Link Philippe Di Francesco, Pierre Mathieu, David Senechal, Conformal field theory, Springer, Link Edward Frenkel, David Ben-Zvi, Vertex algebras and algebraic curves, AMS, Link |
Voraussetzungen / Besonderes | Basic differential geometry and representation theory of semisimple Lie algebras. |