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A multicritical Landau-Potts field theory

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arxiv 2010.09757 v2 pith:ES6WIER5 submitted 2020-10-19 cond-mat.stat-mech hep-th

classification cond-mat.stat-mechhep-th
keywords modelmulticriticalcriticalfieldbelowclusterscomponentsconjecture
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abstract

We investigate a perturbatively renormalizable $S_{q}$ invariant model with $N=q-1$ scalar field components below the upper critical dimension $d_c=\frac{10}{3}$. Our results hint at the existence of multicritical generalizations of the critical models of spanning random clusters and percolations in three dimensions. We also discuss the role of our multicritical model in a conjecture that involves the separation of first and second order phases in the $(d,q)$ diagram of the Potts model.

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Cited by 2 Pith papers

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  2. The tricritical Ising CFT and conformal bootstrap

    hep-th 2025-01 conditional novelty 7.0 of 10

    First conformal-bootstrap islands for the tricritical Ising CFT in d=2.5 and d=2.75, consistent with Padé interpolations between the 3−ε expansion and the exact 2d minimal model.

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