Timeline for Lifting in String Theory and QFT
Current License: CC BY-SA 4.0
7 events
| when toggle format | what | by | license | comment | |
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| Jun 8, 2021 at 17:58 | comment | added | David Ben-Zvi | OK thanks. My impression here is "lift" is used in a typical colloquial fashion, and could be replaced by a word such as "refine" - ie you have some forgetful/lossy operation (passing from a Riemannian manifold to say L^2 functions with the Laplacian, or from a vector space to its dimension) and you want to "lift" to a more refined level (like a 2d CFT of maps into your manifold, or to the level of vector spaces).. | |
| Jun 8, 2021 at 17:20 | comment | added | Hollis Williams | Yes, for example at this blog post physicsforums.com/insights/…, Schreiber states in the Conclusion ''this means that for every spectral triple it makes sense to ask whether it lifts to a 2d SCFT, and if so, in how many ways''. I'm unsure what he means by lifting in this context. | |
| Jun 8, 2021 at 15:56 | comment | added | David Ben-Zvi | Sorry I don't recognize this usage, could you give an example? | |
| Jun 8, 2021 at 14:57 | comment | added | Hollis Williams | Now other thing I have seen is that someone will take a particular type of geometric structure and then asks if there are any QFTs which ''lift'' this type of structure. Could you shine some light on how the word is being used here (roughly speaking)? | |
| Jun 8, 2021 at 14:49 | comment | added | Hollis Williams | OK, thanks for explaining. I guess the first one also relates to the way which a potential is often said to have some of its flat directions ''lifted'', which now makes more sense. | |
| Jun 8, 2021 at 1:11 | comment | added | David Ben-Zvi | I might be confused but I think in general, and even in the paper you cite, the word is being used in (at least) two very distinct senses. A common use of lifting is a deformation which eliminates ("lifts") some part of the space of vacua of a theory -- eg you add a potential (maybe we should imagine we literally "lift" some vacua so they are no longer minima). This is related to symmetry breaking. Then there's the sense in which lift is used in the appendix you mention, for modifying a theory to extend its structure (in this case to nonspin manifolds, in other contexts to higher dimensions). | |
| Jun 8, 2021 at 0:46 | history | asked | Hollis Williams | CC BY-SA 4.0 |