论文标题
来自特殊场理论的Kaluza-Klein光谱法
Kaluza-Klein Spectrometry from Exceptional Field Theory
论文作者
论文摘要
特殊的野外理论产生了高维超重力的双重性融合公式。事实证明，它们是构建各种背景几何形状一致截断的有效工具。在本文中，我们演示了如何将形式主义转变为在这些背景周围计算Kaluza-Klein质谱的强大工具。这些几何形状中的大多数几乎没有剩余的对称性，它们的光谱仅在选定的子行动中仅适用于标准方法。目前的形式主义不仅可以允许进入整个Kaluza-Klein光谱，而且还提供了在较高维度中确定所得质量本质状态的计划。作为第一个插图，我们以$ s^5 $上的iib超级质量质谱为紧凑形式重新绘制。我们进一步讨论了形式主义的应用，以确定与某些突出的$ {\ cal n} = 2 $和$ {\ cal N} = 0 $ ADS VACUA相对应的扭曲几何形状周围较高的kaluza-klein多重光谱。
Exceptional field theories yield duality-covariant formulations of higher-dimensional supergravity. They have proven to be an efficient tool for the construction of consistent truncations around various background geometries. In this paper, we demonstrate how the formalism can moreover be turned into a powerful tool for computing the Kaluza-Klein mass spectra around these backgrounds. Most of these geometries have little to no remaining symmetries and their spectra are accessible to standard methods only in selected subsectors. The present formalism not only grants access to the full Kaluza-Klein spectra but also provides the scheme to identify the resulting mass eigenstates in higher dimensions. As a first illustration, we rederive in compact form the mass spectrum of IIB supergravity on $S^5$. We further discuss the application of our formalism to determine the mass spectra of higher Kaluza-Klein multiplets around the warped geometries corresponding to some prominent ${\cal N}=2$ and ${\cal N}=0$ AdS vacua in maximal supergravity.
