Burns-space self-dual Yang–Mills splitting-function/OPE correspondence

Consider self-dual Yang–Mills theory on Burns space with gauge group $\operatorname{SO}(8)$, and let the large $N$ chiral algebra be the celestial chiral algebra described in the paper. The tree-level splitting function records the collinear singularities of amplitudes or form factors. Splitting-function/OPE conjecture. The tree-level splitting function of self-dual Yang–Mills on Burns space for gauge group $\operatorname{SO}(8)$ is precisely the OPE of the large $N$ chiral algebra. This identifies a bulk collinear-limit object with the boundary celestial OPE and is presented as a concrete aspect of the proposed duality.