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• CommentRowNumber1.
• CommentAuthorUrs
• CommentTimeJan 14th 2020

starting something – not done yet, but need to save

• CommentRowNumber2.
• CommentAuthorUrs
• CommentTimeFeb 18th 2020
• (edited Feb 18th 2020)

Prompted by a new article on the arXiv today, I added pointers to “holographic duality”, though these may eventually need to go to their own entry:

• Kevin Costello, Davide Gaiotto, Twisted Holography (arXiv:1812.09257)

• Jihwan Oh, Yehao Zhou, Feynman diagrams and $\Omega$-deformed M-theory (arXiv:2002.07343)

Is Koszul duality still considered a thing here? It’s not being mentioned anymore…

• CommentRowNumber3.
• CommentAuthorDavid_Corfield
• CommentTimeFeb 19th 2020

Not being mentioned where? It appears in the second article you just added.

• CommentRowNumber4.
• CommentAuthorUrs
• CommentTimeFeb 19th 2020

Ah, right, thanks. I was being stupid.

• CommentRowNumber5.
• CommentAuthorUrs
• CommentTimeOct 22nd 2021

• CommentRowNumber6.
• CommentAuthorDavid_Corfield
• CommentTimeOct 22nd 2021
• (edited Oct 22nd 2021)

Looking at this entry there should be an indication explaining the ’holography’ of the title. It’s doing this indirectly via the link to AdS/CFT duality.

But then even there at AdS/CFT duality we don’t reach the term ’holography’ until a way down the page, and even then there’s not a link to holographic principle.

I’d add something myself, but I don’t know quite the extent of these terms.

• CommentRowNumber7.
• CommentAuthorUrs
• CommentTimeOct 22nd 2021
• (edited Oct 22nd 2021)

Okay, I have added a paragraph mentioning the “holographic principle” to the beginning of the Idea-section at AdS/CFT correspondence (as just announced in its discussion thread here).

Regarding the present entry here on Koszul duality and holography, I should admit that, for the time being, I am using it just to record references so that I know where to find them once I want to go and read them, which by and large I have not yet. So I am not going to defend anything here for the time being, starting with the title of the entry.

Scanning over the lastest article arXiv:2110.10257 I find it curious that the identification of MC-elements with dgca-morphisms out of the Koszul dual is highlighted, a basic point which I had once tried to highlight here and which underlies most articles related to $L_\infty$-algebras which I ever co-authored. Maybe that signals a point of contact. Or… scanning further through the article… maybe not :-)