Exact conformally covariant formulas for renormalized CLE4 gasket two-point probabilities are obtained via loop soups and twisted GFFs, matching Ashkin-Teller CFT predictions with modular theta dependence.
An equivalence between gauge-twisted and topologically conditioned scalar Gaussian free fields
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Renormalised two-point functions of CLE$_4$ gaskets
Exact conformally covariant formulas for renormalized CLE4 gasket two-point probabilities are obtained via loop soups and twisted GFFs, matching Ashkin-Teller CFT predictions with modular theta dependence.