论文标题
扭曲的形式层次结构,杀死Yano方程和超对称背景
Twisted form hierarchies, Killing-Yano equations and supersymmetric backgrounds
论文作者
论文摘要
我们表明,所有超级理论的杀戮旋转方程可能包括(R,S) - 签名时空上的高阶校正与扭曲的协变形式层次结构相关联。这些层次结构的特征是形式空间上的连接可能无法保存。因此,我们证明了所有超对称背景的杀死旋转双线性的形式可以满足这种连接的合适杀戮yano方程的合适概括。为了说明一般的证明,还提出了4、5、6、10和11维度中某些超级理论的扭曲协变形式的层次结构。
We show that the Killing spinor equations of all supergravity theories which may include higher order corrections on a (r,s)-signature spacetime are associated with twisted covariant form hierarchies. These hierarchies are characterized by a connection on the space of forms which may not be degree preserving. As a consequence we demonstrate that the form Killing spinor bi-linears of all supersymmetric backgrounds satisfy a suitable generalization of conformal Killing-Yano equation with respect to this connection. To illustrate the general proof the twisted covariant form hierarchies of some supergravity theories in 4, 5, 6, 10 and 11 dimensions are also presented.