标题： N=1 4D超引力的等距变换 显示英文标题

标题： Isometries of N=1 4D supergravity

摘要： 我们追求将等距和Killing方程推广到N=1 4D超引力。 时空的连续对称性，如空间的均匀性和各向同性，是通过Killing向量来定义的。 在超引力中，度规，或者说更准确地说，四维标架，并不是独立存在的实体，而是包含Rarita-Schwinger旋量矢量和一些辅助场的多重态的一部分。 从四维标架形式的等距定义的超场推广出发，我们推导出整个超引力多重态的两个Killing方程扩展；对于空间各向同性，第一个方程导致旋量矢量为零，而第二个方程则通过Rarita-Schwinger场的自旋$\frac{1}{2}$截断允许非零解。 显示英文摘要

摘要： We pursue a generalization isometries and Killing equations to N=1 4D supergravity. Continuous symmetries of spacetime such as spatial homogeneity and isotropy are defined in terms of Killing vectors. In supergravity, the metric, or rather the tetrad, is not a standalone entity, but is part of a multiplet containing also the Rarita-Schwinger spinor-vector and some auxiliary fields. Starting with a superfield generalization of the isometry definition in tetrad form, we derive two extensions of the Killing equations for the whole supergravity multiplet; for spatial isotropy, the first one yields a vanishing spinor-vector, whereas the second one admits a nonzero solution by a spin-$\frac{1}{2}$ truncation of the Rarita-Schwinger field.