论文标题
TCFH，隐藏的对称和M理论背景
TCFHs, hidden symmetries and M-theory backgrounds
论文作者
论文摘要
我们介绍了11维超级重力的TCFH，因此证明了超对称溶液的双线性形成双线性，可以使结构性杀伤YANO方程与TCFH连接的概括。我们还计算了所有球形对称的M型杀伤力，杀死YANO和封闭的保形杀死YANO张量，其中包括M2-Brane，M5-Brane，KK-Monopole和PP波，并证明它们的大地测量流可以通过使所有独立的收货中的收货中的综合收货完全集成。然后，我们发现所有形成PP波和KK-Monopole溶液的双线性都会生成（隐藏的）对称性，用于在这些背景上旋转粒子探针。此外，还有杀伤旋转器，使得M2-Brane溶液的1-，2和3型双线性也产生用于旋转粒子探针的对称性。我们还探讨了一个问题，即双线性是否足以证明粒子探针动力学在11维超对称背景上的整合性。
We present the TCFH of 11-dimensional supergravity and so demonstrate that the form bilinears of supersymmetric solutions satisfy a generalisation of the conformal Killing-Yano equation with resepct to the TCFH connection. We also compute the Killing-Stäckel, Killing-Yano and closed conformal Killing-Yano tensors of all spherically symmetric M-branes that include the M2-brane, M5-brane, KK-monopole and pp-wave and demonstrate that their geodesic flows are completely integrable by giving all independent conserved charges in involution. We then find that all form bilinears of pp-wave and KK-monopole solutions generate (hidden) symmetries for spinning particle probes propagating on these backgrounds. Moreover, there are Killing spinors such that some of the 1-, 2- and 3-form bilinears of the M2-brane solution also generate symmetries for spinning particle probes. We also explore the question on whether the form bilinears are sufficient to prove the integrability of particle probe dynamics on 11-dimensional supersymmetric backgrounds.
