401-4812-14L  Conformal Field Theory

SemesterFrühjahrssemester 2019
DozierendeG. Felder
Periodizitäteinmalige Veranstaltung
LehrspracheEnglisch


KurzbeschreibungIntroduction and selected topics in 2-dimensional conformal field theory.
LernzielIntroduction 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.
InhaltIntroduction 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.
LiteraturJohn 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 / BesonderesBasic differential geometry and representation theory of semisimple Lie algebras.