论文标题
4d n = 1 Kaluza-Klein超空间
4D N=1 Kaluza-Klein superspace
论文作者
论文摘要
由于最近在4D n = 1个超级场上编码11D超级重力的努力的动机,我们引入了一个通用的协变框架,该框架与描述外部4D n = 1超级空间中的任何更高维度超级重力理论相关,并具有n个其他内部坐标。超空间的几何形状既允许外部和内部差异形态,并提供了编码较高维数vielbein的组件(纯粹的内部部门)所必需的超场,并以一种普遍的方式仅取决于内部维度n。相比之下,预期该度量的内部部门的n = 1个超级场含量将是高度依赖性的,并且涉及协变量的物质超级场,并具有以非线性方式实现的额外隐藏的更高维度的Lorentz和超对称性转换。
Motivated by recent efforts to encode 11D supergravity in 4D N=1 superfields, we introduce a general covariant framework relevant for describing any higher dimensional supergravity theory in external 4D N=1 superspace with n additional internal coordinates. The superspace geometry admits both external and internal diffeomorphisms and provides the superfields necessary to encode the components of the higher dimensional vielbein, except for the purely internal sector, in a universal way that depends only on the internal dimension n. In contrast, the N=1 superfield content of the internal sector of the metric is expected to be highly case dependent and involve covariant matter superfields, with additional hidden higher dimensional Lorentz and supersymmetry transformations realized in a non-linear manner.