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arXiv:2404.12375v1 Announce Type: new
Abstract: We construct a martingale observable related to the spin interface for a class of non-integrable variants of the two-dimensional Ising model and express it in terms of Grassmann integrals. Under a conjecture about the scaling limit of this object, which is similar to some results recently obtained using constructive renormalization group methods, this would imply that the distribution of the interface has the same scaling limit as in the integrable model, that is, the Schramm Loewner evolution curve SLE(3).
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