# Ashkin–Teller joint structure benchmark

Family 233: The joint critical Ashkin–Teller current limit. First application triage, 9 October 2026 Australia/Brisbane.

## Problem and potential new use

Lattice researchers can compare height and both nested current-cluster collections jointly rather than testing separate marginal observables.

## Applicability and commercial boundary

The critical line, boundary conditions and admissible lattice approximations do not extend to arbitrary coupled models or guarantee fast sampling.

## Initial business decision

Research infrastructure. Buyer budget, commercial novelty and profitability are unvalidated.

## Next verification action

Identify finite joint statistics that distinguish a correct shared-field coupling from separate marginal fits.

## Evidence scope

The catalog statement was individually reviewed. This record does not imply a manuscript proof review or formal-scope comparison. No independent Lean check was run. Source revision `fd4aeeb2ee4fc729c18d98444fed42fd0529eeeb`. See [source metadata](source.json).

## Main source

[The joint scaling limit of critical Ashkin-Teller currents](https://github.com/openai/math/blob/fd4aeeb2ee4fc729c18d98444fed42fd0529eeeb/preprints/The-joint-scaling-limit-of-critical-Ashkin-Teller-currents-October-6-2026/main.pdf).
