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• CommentRowNumber1.
• CommentAuthorzskoda
• CommentTimeApr 21st 2010
• CommentRowNumber2.
• CommentAuthorUrs
• CommentTimeOct 23rd 2011

added an Idea-section to conformal block, and added a reference on conformal blocks in higher dimensional CFT.

• CommentRowNumber3.
• CommentAuthorUrs
• CommentTimeJun 7th 2022
• (edited Jun 7th 2022)

have added (here) a paragraph briefly stating that the genus=0 confromal blocks of a rational 2d CFT determine the braided monoidal structure on the corresponding VOA representation category.

Up to slight rewording, this is the same paragraph that I had recently added also at modular tensor category (here)

• CommentRowNumber4.
• CommentAuthorUrs
• CommentTimeSep 3rd 2022

• Toshitake Kohno, §1.4 in: Conformal field theory and topology, transl. from the 1998 Japanese original by the author. Translations of Mathematical Monographs 210. Iwanami Series in Modern Mathematics. Amer. Math. Soc. (2002) [AMS:mmono-210]

(felt sure that I had done so before, but apparently I didn’t)

• CommentRowNumber5.
• CommentAuthorUrs
• CommentTimeJan 15th 2023
• (edited Jan 15th 2023)

added pointer to Witten’s argument that the higher conformal blocks of the $D=6$ $\mathcal{N}=(2,0)$ SCFT reduce to confomal blocks of the ordinary 2d WZW model after KK-compactification on a Riemann surface:

• CommentRowNumber6.
• CommentAuthorUrs
• CommentTimeFeb 21st 2023