标题： N=1 四维超引力的等距变换 显示英文标题

标题： Isometries of N=1 4D supergravity

摘要： 时空的连续对称性，如空间均匀性和各向同性，通过等距和 Killing 向量的概念被严格定义。 在超引力中，度规或者说更确切地说四面体，并不是一个独立的实体，而是包含 Rarita-Schwinger旋量-矢量在内的多重态的一部分。 因此，我们追求一种与超引力原则相一致的 Killing 方程的推广。 采用超场方法，我们推导出一种涵盖整个超引力多重态的 Killing 方程的推广。 为了允许各向同性的 Rarita-Schwinger 场非零，需要放宽旋量-矢量方程。 显示英文摘要

摘要： Continuous symmetries of spacetime such as spatial homogeneity and isotropy are rigorously defined using the concept of isometries and 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. Thus, we pursue a generalization of the Killing equations that is in harmony with the tenets of supergravity. Using a superfield approach, we derive one such generalization of the Killing equations encompassing the whole supergravity multiplet. A relaxation of the spinor-vector equations is required to allow for a non-vanishing isotropic Rarita-Schwinger field.