论文标题
一个变形的超对称$ w_ {1+ \ infty} $对称性在天体中质理论
A Deformed Supersymmetric $w_{1+\infty}$ Symmetry in the Celestial Conformal Field Theory
论文作者
论文摘要
通过使用$ k $的复杂玻色子和$ k $ - 弗里复合式费米子，我们构造了$ {\ cal n} = 2 $ supersymmetric $ w _ {\ infty}^{k，k，k，k} $ algebra，这是先前的$ {\ cal n} = 2 $ uspersmmetricm metmmetricm metrim w iffta，这是先前的$ {\ cal n}的矩阵通用。通过扭曲此$ {\ cal n} = 2 $ supersymmetric $ w _ {\ infty}^{k，k，k} $ algebra，我们获得$ {\ cal n} = 1 $ supersymmetric $ w _ {\ infty}拓扑$ w _ {\ infty} $代数。从这个二维对称代数中，我们提出了在无零变形参数的软重力和gravitino之间的算子产品膨胀（OPE），在超对称的爱因斯坦 - 杨米尔斯理论中。可以完全确定Graviton，Gravitino，Gluon和Gluino之间的其他六个OP。在消失的变形参数时，我们通过上述ops op opes通过天体全息摄取Fotopoulos，Stieberger，Taylor和Zhu的已知结果。
By using the $K$-free complex bosons and the $K$-free complex fermions, we construct the ${\cal N}=2$ supersymmetric $W_{\infty}^{K,K}$ algebra which is the matrix generalization of previous ${\cal N}=2$ supersymmetric $W_{\infty}$ algebra. By twisting this ${\cal N}=2$ supersymmetric $W_{\infty}^{K,K}$ algebra, we obtain the ${\cal N}=1$ supersymmetric $W_{\infty}^{K}$ algebra which is the matrix generalization of known ${\cal N}=1$ supersymmetric topological $W_{\infty}$ algebra. From this two-dimensional symmetry algebra, we propose the operator product expansion (OPE) between the soft graviton and gravitino (as a first example), at nonzero deformation parameter, in the supersymmetric Einstein-Yang-Mills theory explicitly. Other six OPEs between the graviton, gravitino, gluon and gluino can be determined completely. At vanishing deformation parameter, we reproduce the known result of Fotopoulos, Stieberger, Taylor and Zhu on the above OPEs via celestial holography.
