Timeline for How to check Virasoro symmetry at the level of four-point functions?
Current License: CC BY-SA 4.0
5 events
| when toggle format | what | by | license | comment | |
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| Jun 14, 2023 at 15:49 | vote | accept | Gold | ||
| Jun 14, 2023 at 15:34 | comment | added | Sylvain Ribault | You can define conformal blocks for any W-algebra and in principle compute them, but in general this is awfully complicated. | |
| Jun 14, 2023 at 15:33 | comment | added | Sylvain Ribault | If by 'making sense' you mean not being manifestly inconsistent, sure, pretty much anything goes. If you mean a function from which you can extract useful information, by decomposing it into Virasoro blocks, then probably no, unless some nontrivial relation predicts that higher-dimensional correlators mean something in 2d. | |
| Jun 14, 2023 at 12:37 | comment | added | Gold | Thanks @SylvainRibault! Your blog post addresses exactly my question. So it seems like in the end, even some $F(z,\bar z)$ coming from a higher-dimensional CFT would a priori make sense as a two-dimensional four-point function right? By the way, I got interested in your comment about higher symmetry algebras. Is there an analogue of Virasoro blocks for $w_{1+\infty}$? | |
| Jun 14, 2023 at 11:29 | history | answered | Sylvain Ribault | CC BY-SA 4.0 |