CFT Zoo

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ising [2026/03/20 15:43] – [Fractional dimensions] Ludo Fraser-Talienteising [2026/03/20 15:48] (current) – [Higher dimensions] Ludo Fraser-Taliente
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 In $d > 4$ dimensions this was [[https://projecteuclid.org/journalArticle/Download?urlid=cmp%2F1103921614|proven]] by Michael Aizenman. In $d > 4$ dimensions this was [[https://projecteuclid.org/journalArticle/Download?urlid=cmp%2F1103921614|proven]] by Michael Aizenman.
  
 +However, there do exist non-unitary CFTs that can be considered as the analytic continuation of the $d$-dimensional Ising model to $d>4$: see [[on_model#general_dimension | the discussion on the O$(N)$ model page for more]].
 ==== Fractional dimensions ==== ==== Fractional dimensions ====
  
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 [[https://hal.archives-ouvertes.fr/jpa-00210418/document]] [[https://hal.archives-ouvertes.fr/jpa-00210418/document]]
 +==== Supersymmetrization ==
 +
 +[[https://arxiv.org/pdf/1502.04124 | The 3d supersymmetric Ising model]].
 +
 ===== External links ===== ===== External links =====
   * [[https://arxiv.org/abs/0902.0045|An improved lattice measurement of the critical coupling in $\phi^4_2$ theory]] (Schaich)   * [[https://arxiv.org/abs/0902.0045|An improved lattice measurement of the critical coupling in $\phi^4_2$ theory]] (Schaich)
   * [[https://projecteuclid.org/journalArticle/Download?urlid=cmp%2F1103921614|Geometric analysis of $\phi^4$ fields and Ising models]] (Aizenman)   * [[https://projecteuclid.org/journalArticle/Download?urlid=cmp%2F1103921614|Geometric analysis of $\phi^4$ fields and Ising models]] (Aizenman)
Last modified: 2026/10/24 21:27
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