论文标题
关于扭转和较高形式在脱壳超级中的作用
On the role of torsion and higher forms in off-shell supergravity
论文作者
论文摘要
我们详细阐述了存在完全反对称(超级)扭转,相当于轴向矢量的,以及$ \ Mathcal {n} = 1 $,$ d = 4 $ supergravity的“新最小”和“旧的最小”外壳配方中的较高形式。我们采用了几何超空间方法,并研究了该框架中比安奇身份的几何拉格朗日和脱壳封闭,展示了上述轴向矢量扭转如何有助于新的和旧的最小辅助场集。特别是,为了重现几何设置中的旧最小设置,我们还引入了两个真实的辅助3型电势。
We elaborate on the presence of a nonvanishing totally antisymmetric (super)torsion, equivalent to an axial vector, and higher forms in the "new minimal" and "old minimal" off-shell formulations of $\mathcal{N}=1$, $D=4$ supergravity. We adopt the geometric superspace approach and study both the geometric Lagrangian and the off-shell closure of the Bianchi identities in this framework, showing how the aforementioned axial vector torsion contributes to both the new and the old minimal set of auxiliary fields. In particular, to reproduce the old minimal set within the geometric setup, we also introduce two real auxiliary 3-form potentials.