“The twist estimate in OpenAI’s new proof of Polyakov’s conjecture (215), never uses…”
Rudy Pei @PeaBrane10X
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The twist estimate in OpenAI’s new proof of Polyakov’s conjecture (215), never uses the sign of the couplings. So it extends to vector spin glasses: the 2D Heisenberg spin glass has no spin-glass order (finite χ_SG) at any T > 0. It’s a cool corollary.
Quoting @OpenAI: We’re releasing a broad range of new mathematical results produced by an internal frontier model.
We’ve been consulting with the independent Advisory Group on Mathematics and Artificial Intelligence at the Institute for Advanced Study, and we have drawn on their advice and public recommendations to inform how we release these results.