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1. • CommentRowNumber1.
   • CommentAuthorzskoda
   • CommentTimeApr 21st 2010
   • PermaLink
   Author: zskoda
   Format: Markdown[[conformal block]] and [[Vassily Gorbounov]]. Update at [[Imma Galvez]].

   conformal block and Vassily Gorbounov. Update at Imma Galvez.

2. • CommentRowNumber2.
   • CommentAuthorUrs
   • CommentTimeOct 23rd 2011
   • PermaLink
   Author: Urs
   Format: MarkdownItexadded an Idea-section to [[conformal block]], and added a reference on conformal blocks in higher dimensional CFT.

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

3. • CommentRowNumber3.
   • CommentAuthorUrs
   • CommentTimeJun 7th 2022
   • (edited Jun 7th 2022)
   • PermaLink
   Author: Urs
   Format: MarkdownItexhave added ([here](https://ncatlab.org/nlab/show/conformal+block#RelationToBraidingOfFieldInsertions)) 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](https://ncatlab.org/nlab/show/modular%20tensor%20category#RelationToConformalBlocks)) <a href="https://ncatlab.org/nlab/revision/diff/conformal+block/19">diff</a>, <a href="https://ncatlab.org/nlab/revision/conformal+block/19">v19</a>, <a href="https://ncatlab.org/nlab/show/conformal+block">current</a>

   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)

   diff, v19, current

4. • CommentRowNumber4.
   • CommentAuthorUrs
   • CommentTimeSep 3rd 2022
   • PermaLink
   Author: Urs
   Format: MarkdownItexhave added pointer to: * [[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) &lbrack;[AMS:mmono-210](https://bookstore.ams.org/mmono-210)&rbrack; (felt sure that I had done so before, but apparently I didn't) <a href="https://ncatlab.org/nlab/revision/diff/conformal+block/22">diff</a>, <a href="https://ncatlab.org/nlab/revision/conformal+block/22">v22</a>, <a href="https://ncatlab.org/nlab/show/conformal+block">current</a>

   have added pointer to:

   • 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)

   diff, v22, current

5. • CommentRowNumber5.
   • CommentAuthorUrs
   • CommentTimeJan 15th 2023
   • (edited Jan 15th 2023)
   • PermaLink
   Author: Urs
   Format: MarkdownItexadded pointer to Witten's argument that the higher conformal blocks of the [[D=6 N=(2,0) SCFT|$D=6$ $\mathcal{N}=(2,0)$ SCFT]] reduce to confomal blocks of the ordinary 2d [[WZW model]] after [[KK-compactification]] on a [[Riemann surface]]: * [[Edward Witten]], [p. 22](https://arxiv.org/pdf/0905.2720.pdf#page=22) of: *Geometric Langlands From Six Dimensions*, in Peter Kotiuga (ed.) _A Celebration of the Mathematical Legacy of Raoul Bott_, CRM Proceedings & Lecture Notes **50** AMS (2010) &lbrack;[arXiv:0905.2720](http://arxiv.org/abs/0905.2720), [ISBN:978-0-8218-4777-0](https://bookstore.ams.org/crmp-50)&rbrack; <a href="https://ncatlab.org/nlab/revision/diff/conformal+block/24">diff</a>, <a href="https://ncatlab.org/nlab/revision/conformal+block/24">v24</a>, <a href="https://ncatlab.org/nlab/show/conformal+block">current</a>

   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:

   • Edward Witten, p. 22 of: Geometric Langlands From Six Dimensions, in Peter Kotiuga (ed.) A Celebration of the Mathematical Legacy of Raoul Bott, CRM Proceedings & Lecture Notes 50 AMS (2010) [arXiv:0905.2720, ISBN:978-0-8218-4777-0]

   diff, v24, current

6. • CommentRowNumber6.
   • CommentAuthorUrs
   • CommentTimeFeb 21st 2023
   • PermaLink
   Author: Urs
   Format: MarkdownItexadded pointer to today's * Mikhail Pavlov, *Global torus blocks in the necklace channel* &lbrack;[arXiv:2302.10153](https://arxiv.org/abs/2302.10153)&rbrack; <a href="https://ncatlab.org/nlab/revision/diff/conformal+block/25">diff</a>, <a href="https://ncatlab.org/nlab/revision/conformal+block/25">v25</a>, <a href="https://ncatlab.org/nlab/show/conformal+block">current</a>

   added pointer to today’s

   • Mikhail Pavlov, Global torus blocks in the necklace channel [arXiv:2302.10153]

   diff, v25, current

7. • CommentRowNumber7.
   • CommentAuthorUrs
   • CommentTimeFeb 14th 2024
   • (edited Feb 14th 2024)
   • PermaLink
   Author: Urs
   Format: MarkdownItexadded pointers to Conformal blocks for [[Liouville theory]]: * [[Babak Haghighat]], [[Yihua Liu]], [[Nicolai Reshetikhin]], *Flat Connections from Irregular Conformal Blocks* &lbrack;[arXiv:2311.07960](https://arxiv.org/abs/2311.07960)&rbrack; * [[Xia Gu]], [[Babak Haghighat]], [[Kevin Loo]], *Irregular Fibonacci Conformal Blocks* &lbrack;[arXiv:2311.13358](https://arxiv.org/abs/2311.13358)&rbrack; (also at *[[Liouville theory]]*) <a href="https://ncatlab.org/nlab/revision/diff/conformal+block/29">diff</a>, <a href="https://ncatlab.org/nlab/revision/conformal+block/29">v29</a>, <a href="https://ncatlab.org/nlab/show/conformal+block">current</a>

   added pointers to

   Conformal blocks for Liouville theory:

   • Babak Haghighat, Yihua Liu, Nicolai Reshetikhin, Flat Connections from Irregular Conformal Blocks [arXiv:2311.07960]

   • Xia Gu, Babak Haghighat, Kevin Loo, Irregular Fibonacci Conformal Blocks [arXiv:2311.13358]

   (also at Liouville theory)

   diff, v29, current