论文标题
$ {\ cal n} = 2 $ supergravity的协变超空间方法
Covariant superspace approaches to ${\cal N}=2$ supergravity
论文作者
论文摘要
我们提供了$ {\ cal n} = 2 $在四个维度中的$ {\ cal n} = 2 $共形超级重力的三个协变量的统一描述：（i）共形超级空间； （ii）$ \ MATHSF {U}（2）$ SUPERSPACE;和（iii）$ \ mathsf {su}（2）$ superspace。尽管共形超空间具有最大的结构组，并且与超符号张量计算有密切相关，但它们每个人都可以用于制定一般的超级强度系统。我们回顾了协变量多重组的结构，并演示了它们如何用来描述纯和耦合的超级重力，包括局部超构成的外壳Sigma模型。还简要讨论了更高衍生的不变性，拓扑不变性和超脉异常。
We provide a unified description of the three covariant superspace approaches to ${\cal N}=2$ conformal supergravity in four dimensions: (i) conformal superspace; (ii) $\mathsf{U}(2)$ superspace; and (iii) $\mathsf{SU}(2)$ superspace. Each of them can be used to formulate general supergravity-matter systems, although conformal superspace has the largest structure group and is intimately related to the superconformal tensor calculus. We review the structure of covariant projective multiplets and demonstrate how they are used to describe pure and matter-coupled supergravity, including locally superconformal off-shell sigma models. Higher-derivative invariants, topological invariants and super-Weyl anomalies are also briefly discussed.
