Conformal universality of bulk spin and energy correlations for weakly interacting square-lattice Ising models
For sufficiently small square-symmetric finite-range even multispin perturbations of either sign, with one critical-temperature branch and two field normalizations, mixed bulk spin and energy correlations converge to the nearest-neighbor conformal limits in every bounded simply connected Jordan domain with free, plus or minus boundary conditions, and in the periodic plane state; energies are centered in their actual states. Companion: weakly perturbed contour energies have a domain-independent temperature at which the Dobrushin interface converges to chordal . Not shown: perturbations without square symmetry, multiply connected domains, boundary spin observables, or strong perturbations.
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Occurred: Sep 23, 2026
Delta type: SOURCE CLAIM
Assumptions: VibeMathed verification: unreviewed. Publication: announcement. AI contribution: ai-discovered. VibeMathed editorial classifications, scores, notes, relations, and dataset structure are CC BY 4.0. Source statements and linked content retain their own rights.
Canonical aliases: Conformal universality of bulk spin and energy correlations for weakly interacting square-lattice Ising models · Ising universality under weak interactions
Confidence: Not scored
Registry verification: unreviewed · announcement · partial
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VibeMathed
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Unreleased internal OpenAI model
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Lineage and corrections
Companion: SLE3 universality for weak finite-range Ising interactions evidence for this event
Companion: Buffered comparison and stopping-band resolution in critical Ising evidence for this event
Giuliani, Scaling limits and universality of Ising and dimer models (ICM 2022) evidence for this event
This event attributed to Unreleased internal OpenAI model
VibeMathed record: Conformal universality of bulk spin and energy correlations for weakly interacting square-lattice Ising models evidence for this event
Conformal universality of bulk spin and energy correlations for weakly interacting square-lattice Ising models evidence for this event
For sufficiently small square-symmetric finite-range even multispin perturbations of either sign, with one critical-temperature branch and two field normalizations, mixed bulk spin and energy correlations converge to the nearest-neighbor conformal limits in every bounded simply connected Jordan domain with free, plus or minus boundary conditions, and in the periodic plane state; energies are centered in their actual states. Companion: weakly perturbed contour energies have a domain-independent temperature at which the Dobrushin interface converges to chordal . Not shown: perturbations without square symmetry, multiply connected domains, boundary spin observables, or strong perturbations. parent of this event
Conformal universality of bulk spin and energy correlations for weakly interacting square-lattice Ising models parent of this event
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