The operator product expansion (OPE) on the celestial sphere of conformal primary gluons and gravitons is studied. Asymptotic symmetries imply recursion relations between products of operators whose conformal weights differ by half-integers. It is shown, for tree-level Einstein–Yang–Mills theory, that these recursion relations are so constraining that they completely fix the leading celestial OPE coefficients in terms of the Euler beta function. The poles in the beta functions are associated with conformally soft currents.

中文翻译：

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胶子和引力子的天体算子产品

研究了共形初级胶子和引力子在天球上的算子乘积展开（OPE）。渐近对称意味着保形权重相差半整数的算子乘积之间的递归关系。结果表明，对于树级 Einstein-Yang-Mills 理论，这些递归关系非常受约束，以至于它们完全固定了欧拉 beta 函数方面的领先天体 OPE 系数。β 函数中的极点与保形软电流相关。