论文标题
Carrollian SuperConformal Theourisies和Super BMS
Carrollian superconformal theories and super BMS
论文作者
论文摘要
我们研究了Bondi-Metzner-Sachs的超对称版本,或者在边界尺寸中等效地,同等的,carroll对称性$ d> 3 $,考虑到平面全息图的应用。我们在提出无限维升力之前,确定相对论对称性相关的对称性的收缩,并构建有限的卡洛利亚超符号代数(CSA)。我们为$ \ Mathcal {n} = 1 $ CSA提供超空间公式,并致力于理解代数的表示理论。我们以$ \ Mathcal {N}> 1 $ CSA的某些方面结束。
We investigate the supersymmetric versions of Bondi-Metzner-Sachs or, equivalently, conformal Carroll symmetry in boundary dimensions $d>3$, with applications of flat space holography in mind. We identify the contraction of the relativistic symmetry relevant for our purposes and construct a finite-dimensional Carrollian superconformal algebra (CSA) before proposing an infinite-dimensional lift. We provide the superspace formulation for $\mathcal{N}=1$ CSA and work towards an understanding of the representation theory of the algebra. We conclude with some aspects of $\mathcal{N}>1$ CSA.