This paper extends the VOA–conformal net correspondence to vertex operator superalgebras, introducing strong graded locality and proving it for lattice, super-Moonshine, and shorter Moonshine models.
An internal version of our next major model produced 10 new results on long-standing open problems in mathematics and theoretical computer science, using roughly $2,000 worth of tokens at GPT-5.6 Sol API rates.
A couple of websites
I want to share a couple websites aimed specifically at mathematicians regarding AI-safety and AI-risk .
The first one I made myself: https://t.co/Ye2ZF5CmJj. This is designed to be a very high level and accessible resource describing some research agendas, collections of problems, and organizations in the field of AI-safety. I hope that for mathematicians considering directing some of their effort in this direction, this eliminates some of the friction. I plan to expand it quite a bit, but I hope it's already useful! I'd be happy and grateful to hear (constructive) feedback on it :-)
1/2
I asked Fable how hard these problems are, and its response is worth reading.
“On the Fields Medal scale, any single one of these…would plausibly anchor a medal case”
It’s crazy to see this happening
The cost of generating the proofs for all 10 of these breakthroughs combined was under $2,000 at Sol API prices. We’re excited to see what scientists and researchers are able to create with our upcoming Astra models!
The article "Conformal nets from minimal W-algebras" by Tiziano Gaudio and me has been published in Communications in Mathematical Physics. The article is open access
https://t.co/glDYWekDxd
The article "From vertex operator superalgebras to graded-local conformal nets and back" by Tiziano Gaudio, Robin Hillier and me has been published in Reviews in Mathematical Physics
https://t.co/h3uj9fTjG2
Addio a Sergio Doplicher, un grande scienziato, un raffinato umanista. Nella sua straordinaria carriera ha saputo unire rigore matematico e profondità culturale, formando generazioni di studiosi e lasciando un’eredità che vive tra ricerca, arte, matematica, letteratura e poesia. Una personalità poliedrica e di altissima cultura che mancherà molto alla comunità scientifica e accademica e di tutto il mondo.
The article "Non-unitary Wightman CFTs and non-unitary vertex algebras" by Christopher Raymond, Yoh Tanimoto, James E. Tener and me has been published in Selecta Mathematica New Series. The article is open access
https://t.co/hQQPjBSFhO
James E. Tener: The Bisognano-Wichmann property for non-unitary Wightman conformal field theories https://t.co/pflduupvKI https://t.co/kGhHm3gLuB https://t.co/uvStvefLRq