Timeline for What is this correspondence between composition algebras over R and superstring theories?
Current License: CC BY-SA 4.0
14 events
| when toggle format | what | by | license | comment | |
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| Apr 26, 2023 at 18:34 | comment | added | LSpice | @DaveBenson, according to a moderator, the appropriate action in such a case is to flag. | |
| Apr 23, 2023 at 16:26 | comment | added | Dave Benson | @Emily, I wonder whether it's really appropriate to post SciHub pointers here. It's a bit naughty. | |
| Apr 23, 2023 at 1:18 | comment | added | Dabed | I don't understand superstring theory but from what I read here I get the impression that the paper takes the 7 composition algebras and construct over each of them a string theory "classically" rather that they correspond to the "classical" string theories Type I, Type IIA, Type IIB, SO(32) heterotic, E8×E8 heterotic plus some two others although that would be cooler I guess maybe someone can clarify. | |
| Apr 23, 2023 at 1:08 | comment | added | Emily | @LSpice I think Springer uses cookies (or something like that) to remember your institutional subscription for a while even when you're not connected to it | |
| Apr 22, 2023 at 23:59 | comment | added | LSpice | I don't understand what a string theory is, or what it means for a composition algebra to correspond to one, but the paper's justification for the claim seems to be the isomorphisms $\DeclareMathOperator\SL{SL}\DeclareMathOperator\SO{SO}\newcommand\wt{\widetilde}\newcommand\mb{\mathbb}\SL(2, \mb R) \cong \wt\SO(2, 1)$, $\SL(2, \mb C) \cong \wt\SO(3, 1)$, $\SL(2, \mb H) \cong \wt\SO(5, 1)$, $\SL(2, \mb O) \cong \wt\SO(9, 1)$, $\SL(2, \mb C(-1)) \cong \wt\SO(2, 2)$, $\SL(2, \mb H(-1)) \cong \wt\SO(3, 3)$, and $\SL(2, \mb O(-1)) \cong \wt\SO(5, 5)$. I have not checked these isomorphisms. | |
| Apr 22, 2023 at 23:34 | comment | added | L. E. | @LSpice Ah, I see. Yes, in the page you've linked, the article is only available for purchase for $40, or accessible through institution verification. | |
| Apr 22, 2023 at 23:32 | comment | added | LSpice | Re, the link I provided (that is also on the Wikipedia page) works for me on my home network, i.e., not accessed through my university, with no subscription or access fee. Does it not work for you? | |
| Apr 22, 2023 at 23:31 | history | edited | L. E. | CC BY-SA 4.0 |
edited body
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| Apr 22, 2023 at 23:31 | history | edited | L. E. | CC BY-SA 4.0 |
added 7 characters in body
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| Apr 22, 2023 at 23:30 | comment | added | L. E. | @LSpice Apologies for the inaccuracy, I meant to say that I cannot access the paper due to my institution and the cost. | |
| Apr 22, 2023 at 23:29 | history | edited | LSpice | CC BY-SA 4.0 |
Link to Wiki page; x -> ×
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| Apr 22, 2023 at 23:28 | comment | added | LSpice | What do you mean when you say that the paper is inaccessible? It seems to be freely accessible (at least, I can access it from home) at Foot and Joshi - Nonstandard signature of spacetime, superstrings, and the split composition algebras, which is linked on the Wikipedia page. | |
| S Apr 22, 2023 at 23:22 | review | First questions | |||
| Apr 23, 2023 at 1:10 | |||||
| S Apr 22, 2023 at 23:22 | history | asked | L. E. | CC BY-SA 4.0 |