论文标题
BMS天体对称性
BMS Symmetry of Celestial OPE
论文作者
论文摘要
在本文中，我们研究了爱因斯坦理论中两个阳性螺旋性重力在四个维度上的天体ope的BMS对称性。天体OPE是通过在（全态）线界限中转化散射幅度来获得的。领先顺序的分线限制给出了天体OPE的单一项。我们通过直接在Mellin空间中分析四个重力散射幅度来计算对OPE的第一个旋字校正。均衡项可以写入BMS后代的线性组合与由BMS代数确定的OPE系数和OPE中指数的系数。这可以通过定义合适的BMS初级状态来完成。我们发现，在第一个转向顺序出现的后代中，有一个是由霍明型超译本创造的，而天体上的简单极是从天体球体上产生的。
In this paper we study the BMS symmetry of the celestial OPE of two positive helicity gravitons in Einstein theory in four dimensions. The celestial OPE is obtained by Mellin transforming the scattering amplitude in the (holomorphic) collinear limit. The collinear limit at leading order gives the singular term of the celestial OPE. We compute the first subleading correction to the OPE by analysing the four graviton scattering amplitude directly in Mellin space. The subleading term can be written as a linear combination of BMS descendants with the OPE coefficients determined by BMS algebra and the coefficient of the leading term in the OPE. This can be done by defining a suitable BMS primary state. We find that among the descendants, which appear at the first subleading order, there is one which is created by holomorphic supertranslation with simple pole on the celestial sphere.
