标题： Noether-Wald 电荷和超引力中的 Komar 电荷，费米子以及超空间中的 Killing 超向量 显示英文标题

标题： Noether-Wald and Komar charges in supergravity, fermions, and Killing supervectors in superspace

摘要： 超重力理论中Killing向量和旋量的超对称性质可以通过将它们与超重力超空间中的Killing超向量联系起来加以阐明。 在超空间方法中，明显地，超对称性“混合”了一个Killing向量与其费米子旋量“超伙伴”，以及Killing方程与Killing旋量方程的推广。 当费米子场被设为零时，后者退化为标准的Killing旋量方程，尽管此时使用的是费米子旋量。 利用这些超对称变换，在时空分量方法中，我们构建了一个带有费米子贡献的${\cal N}=1$、$D=4$超引力的Noether-Wald电荷，该电荷是微分、洛伦兹和超对称不变的（至多一个全导数）。 还讨论了最大$D=11$超引力的Killing超向量形式及其相关问题。 显示英文摘要

摘要： The supersymmetry properties of Killing vectors and spinors in supergravity theory can be clarified by relating them to Killing supervectors in the supergravity superspace. In the superspace approach it is manifest that supersymmetry 'mixes' a Killing vector with its fermionic spinor 'superpartner' and the Killing equations with the generalization of the Killing spinor equations. The latter reduces to the standard Killing spinor equation, albeit with a fermionic spinor, when the fermionic fields are set to zero. Using these supersymmetry transformations in the spacetime component approach, we construct a Noether-Wald charge of ${\cal N}=1$, $D=4$ supergravity with fermionic contributions which is diff-, Lorentz- and supersymmetry-invariant (up to a total derivative). The Killing supervector formalism for the maximal $D=11$ supergravity and some related issues are also discussed.