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Title: Rotational and conformal invariance of the critical 3D Ising scaling limit
Plain: At its critical point the 3D Ising model is believed to look the same under rotations and angle-preserving maps (conformal symmetry), which physicists use to compute exponents. In 2D this was proven; in 3D even rotation invariance is unproven.
Precise: Show that the scaling limit of critical spin correlations on $Z^3$ exists, is rotation invariant, and transforms covariantly under conformal maps of $R^3$ with scaling dimension $\Delta_{\sigma}\ \text{approximately}\ 0.51815$. Answer: a proof.
Settled by: A proof of rotation invariance of the 3D scaling limit, then of conformal covariance.
Kind: well-posed
Answer type: proof
References: (empty)
Literature status: open
Status note: Conformal invariance in 2D was proven by Smirnov (2010) and by Chelkak, Hongler and Izyurov (2015).
Posed since: (empty)