Seminar quantum physics and geometry
Further topics in conformal field theory
Coordination: I. Runkel, V. Schomerus, J. Teschner
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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]
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2.11.2017:
C2-cofiniteness and modular transformations of characters (Tobias Ohrmann)
[notes TO]
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16.11.2017:
Introduction to 4d N=2 superconformal algebra and multiplet shortening (Thomas Burton)
[notes TB]
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30.11.2017:
The Higgs branch of 4d N=2 superconformal theories (Jan-Peter Carstensen)
[notes JPC]
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14.12.2017:
VOAs in N=2 superconformal theories (Pedro Liendo),
VOAs, Zhu's algebra and Higgs branches (Madalena Lemos)
[notes ML]
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11.1.2018:
Three-dimensional topological quantum field theory and modular functors
[notes IR]
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25.1.2018:
3d TFT and 2d CFT, part 2
References:
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C. Dong, H. Li, G. Mason,
Twisted representations of vertex operator algebras,
q-alg/9509005
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M.R. Gaberdiel,
An algebraic approach to logarithmic conformal field theory,
hep-th/0111260
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M.R. Gaberdiel, T. Gannon,
Zhu's algebra, the C_2 algebra, and twisted modules,
0811.3892
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Y.-C. Zhu,
Modular invariance of vertex operator algebras,
J. Amer. Math. Soc. 9 (1996) 237-302
Seminar quantum physics and geometry