Seminar quantum physics and geometry

Seminar quantum physics and geometry
Further topics in conformal field theory

Coordination: I. Runkel, V. Schomerus, J. Teschner

19.10.2017:
Reminder on coformal field theory and vertex operator algebras, the relevance of modular invariance (Lorenz Hilfiker) [notes LH]
Two algebras defined by Zhu; classification of simple modules of a VOA (Lorant Szegedy) [notes LS]
2.11.2017:
C2-cofiniteness and modular transformations of characters (Tobias Ohrmann) [notes TO]
16.11.2017:
Introduction to 4d N=2 superconformal algebra and multiplet shortening (Thomas Burton) [notes TB]
30.11.2017:
The Higgs branch of 4d N=2 superconformal theories (Jan-Peter Carstensen) [notes JPC]
14.12.2017:
VOAs in N=2 superconformal theories (Pedro Liendo), VOAs, Zhu's algebra and Higgs branches (Madalena Lemos) [notes ML]
11.1.2018:
Three-dimensional topological quantum field theory and modular functors [notes IR]
25.1.2018:
3d TFT and 2d CFT, part 2

References:

C. Dong, H. Li, G. Mason, Twisted representations of vertex operator algebras, q-alg/9509005
M.R. Gaberdiel, An algebraic approach to logarithmic conformal field theory, hep-th/0111260
M.R. Gaberdiel, T. Gannon, Zhu's algebra, the C_2 algebra, and twisted modules, 0811.3892
Y.-C. Zhu, Modular invariance of vertex operator algebras, J. Amer. Math. Soc. 9 (1996) 237-302