论文标题
延长的超级BMS代数
Extended Super BMS Algebra of Celestial CFT
论文作者
论文摘要
我们研究了描述四维$ {\ cal n} = 1 $ SuperGravity/Yang-Mills系统的二维天体保形场理论，并表明基本的对称性是BMS对称性的超对称概括。我们构建了费米子的一波波函数，并通过超对称性与骨伴侣展示它们的关系。我们使用超对称爱因斯坦阳米尔斯理论的软和共线定理来得出与无质量颗粒相关的操作者的op。显示骨气和费米斯软定理在超对称病房身份下形成一个序列。与能量动量张量类似，超电流是软重力算子的阴影变换，并产生无限二二维超对称代数。 $ \ mathfrak {sbms} _4 $发电机的代数与基于早期在渐近对称性超级重力群体上的工作的期望一致。我们还表明，超级倾斜操作员可以写为尸体和抗塑形的超级潮流的产物。
We study two-dimensional celestial conformal field theory describing four-dimensional ${\cal N}=1$ supergravity/Yang-Mills systems and show that the underlying symmetry is a supersymmetric generalization of BMS symmetry. We construct fermionic conformal primary wave functions and show how they are related via supersymmetry to their bosonic partners. We use soft and collinear theorems of supersymmetric Einstein-Yang-Mills theory to derive the OPEs of the operators associated to massless particles. The bosonic and fermionic soft theorems are shown to form a sequence under supersymmetric Ward identities. In analogy with the energy momentum tensor, the supercurrents are shadow transforms of soft gravitino operators and generate an infinite-dimensional supersymmetry algebra. The algebra of $\mathfrak{sbms}_4$ generators agrees with the expectations based on earlier work on the asymptotic symmetry group of supergravity. We also show that the supertranslation operator can be written as a product of holomorphic and anti-holomorphic supercurrents.
