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Résumé |
I will discuss the classical 1d Ising model with interactions decaying as an inverse power of the distance,
$1/r^p$. This model exhibits a rich phase diagram and boasts an illustrious history. As shown by Dyson in
1969, there is a phase transition for p between 1 and 2.
It is expected that the critical model exhibits exact SL(2,R) invariance, leading to a family of nonlocal 1d
CFTs, which are perhaps the simplest CFTs that remain unsolved analytically. After reviewing the history and
physics of the model, I will describe our solution of the critical dynamics near p=2. Based on
https://arxiv.org/abs/2412.12243 with D. Benedetti, E. Lauria, and P. van Vliet.
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