论文标题
$ \ Mathcal {n} = 1 $ SuperGravity的超空间方法
Superspace approaches to $\mathcal{N}=1$ supergravity
论文作者
论文摘要
$ \ Mathcal {n} = 1 $在四个维度上的超级形式的超空形式主义是一个强大的几何环境，可用于工程脱机超级强制理论，包括更高衍生的耦合。这篇评论提供了$ \ mathcal {n} = 1 $ suppormal Supergravity的三种超空间方法的统一描述：（ i）共形超级空间； （ii）$ \ MATHSF {U}（1）$ SUPERSPACE; （iii）Grimm-Wess-Zumino形式主义。讨论了后者的预势配方。我们简要地将庞加莱和反DE保姆的超级加重理论的已知脱壳配方与某些补偿器相连。作为形式主义的简单应用，我们介绍了用于纯庞加莱和抗DE保姆的各种外壳配方的超级场外运动方程，并表明这些方程的每个解决方案也是整形超级强度运动方程的解决方案。
The superspace formalism for $\mathcal{N}=1$ supergravity in four dimensions is a powerful geometric setting to engineer off-shell supergravity-matter theories, including higher-derivative couplings. This review provides a unified description of the three superspace approaches to $\mathcal{N}=1$ conformal supergravity: (i) conformal superspace; (ii) $\mathsf{U}(1)$ superspace; and (iii) the Grimm-Wess-Zumino formalism. The prepotential formulation for the latter is discussed. We briefly describe the known off-shell formulations for Poincaré and anti-de Sitter supergravity theories as conformal supergravity coupled to certain compensators. As simple applications of the formalism, we present the superfield equations of motion for various off-shell formulations for pure Poincaré and anti-de Sitter supergravity, and show that every solution of these equations is also a solution of the equations of motion for conformal supergravity.
