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In a recent paper, Gorbenko and Zan [arXiv:2005.07708] observed that $O(n)$ symmetry alone does not protect the well-known renormalization group flow from the dilute to the dense phase of the two-dimensional $O(n)$ model under thermal perturbations.
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N. Iorgov, A.I. Molev and E. Ragoucy, “Casimir elements from the Brauer-Schur-Weyl duality”, J. Algebra 387
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