Timeline for Why "holomorphic" vertex algebra?
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| Apr 29, 2021 at 17:33 | comment | added | S. Carnahan♦ | @ReimundoHeluani I also don't have the first reference, but "holomorphic conformal field theory" was used in a manner consistent with "vertex algebra with trivial representation theory" by Dixon-Ginsparg-Harvey (section 4 of "Beauty and the Beast") in 1988. I think this supports Theo's explanation. | |
| Apr 20, 2021 at 10:32 | comment | added | Reimundo Heluani | I don´t know the original reference for "holomorphic" being used in the context of vertex algebras. It is already there in Frenkel -- Lepowsky -- Meurman and this term is probably due to them or Dong, who proved holomorphicity of the Moonshine module. However compelling Theo´s answer is, I´m pretty sure the reason is that with very mild conditions, the character of such algebras is a holomorphic function (a modular form on SL(2,Z)). Since I don´t have the original reference in hand, this is a comment instead of an answer. | |
| Apr 14, 2021 at 16:46 | answer | added | Theo Johnson-Freyd | timeline score: 12 | |
| Apr 13, 2021 at 0:56 | history | edited | RobPratt |
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| Apr 13, 2021 at 0:18 | history | asked | GTA | CC BY-SA 4.0 |