CFT Zoo

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null_results [2021/11/13 12:28]
Brian McPeak created
null_results [2026/03/19 00:24] (current)
Ludo Fraser-Taliente
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 ======Null Results====== ======Null Results======
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 +This page is meant to be a resource for informally keeping track of null results, which often are not published but which still may be quite useful to other researchers trying to do the same thing.
 +
 +=====Minimal models=====
 +
 +One might want to find the unitary [[minimal models | minimal models]] $\mathcal{M}_{m+1,m}$ in a controlled fashion by considering the fixed point of the $\frac{1}{2}(\partial \phi)^2 + g \phi^{2(m-1)}$ QFT in a Wilson-Fisher-like perturbative expansion around $d=d_c -\epsilon$, where $d_c = 2(m-1)/(m-2)$.
 +Unforunately, even in the large-$m$ limit, $d=2$ is too far away from $d_c$ to have perturbative control in $\epsilon$, as described in [[http://arxiv.org/abs/2509.26372 | section 2.4 of this paper]].
 +