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Should there be an entry ’I-II’, as mentioned here?
Yes, it’s not a comprehensive list yet. More basic entries such as IIA - IIB are missing at the moment. On the other hand, it’s going to be a redundant list, too, since in the end there are several ways through the web of dualities between any given pair of limiting theories.
Perhaps one day we can have a large diagram with many arrows.
Yes! One day.
added also pointer to p-adic AdS/CFT duality
Thanks. But shouldn’t we group it under “QFT-QFT duality” instead of under “string-QFT duality”?
I’d put it next to the item “KLT-relations”.
Ok, Thank you very much
I was not sure about the classification, since the Double Copy program wants to reach a well-defined duality between the whole NS-NS sector $(g,B,\phi)$ and gauge fields
I see. So what’s the picture here of the most optimistic case of the classical double copy construction? Do we think of it as being really a version of AdS/CFT?
In any case, it might be good to group the “double copy” item together with the “KLT-relations”-item. These are close cousins, no?
I know just that they would like to relate solutions of the field equations of $(g,B,\phi)$ to the ones of a gauge field (see arXiv 1912.02177 for an example) in analogy with what happens in scattering amplitudes (see arXiv 1807.09859 for example). The relation with AdS/CFT is completely obscure, as far as I asked!
Yes, I definitely agree about grouping them: they are cousin, even if the scattering amplitude version of double copy are more specifically the BCJ(Bern-Carrasco-Johansson)-relations (which may deserve a page or a section in the KLT-relations one).
Okay, thanks. So I have regrouped now to read as follows:
QFT incarnations of open/closed string duality, relating (super-)gravity to (super-)Yang-Mills theory:
Here the parenthetical “super” should serve to imply the presence of KR- fields and dilaton fields.
Thank you very much, it looks good!
Adding “super” is very appropriate also because this $\text{gravity} \sim (\text{gauge theory})^2$ duality should have its supergravity counterpart
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