论文标题
Kaluza-Klein光谱法超过一致的截断：挤压$ S^7 $
Kaluza-Klein Spectrometry beyond Consistent Truncations: The Squashed $S^7$
论文作者
论文摘要
我们展示了如何使用特殊的场理论来计算10和11维超重力的全kaluza-klein光谱围绕不构成一致截断的一部分的标量模态的最大测量超级模态的背景的变形。这包括AD $ _4 \ Times S^7 $和ADS $ _5 \ times s^5 $的变形，而不是$ {\ cal n} = 8 $ supermultiplet。作为一个应用程序，我们计算$ {\ cal n} = 1 $和$ {\ cal n} = 0 $ swashed $ s^7 $的$ {\ cal n} = 1 $和$ {\ cal n}的完整kaluza-klein光谱。在此示例中，所有共形维度均由通用公式根据Casimir操作员和组织频谱的其他量子数捕获。
We show how to use Exceptional Field Theory to compute the full Kaluza-Klein spectra of 10- and 11-dimensional supergravity around deformations of backgrounds of maximal gauged supergravity by scalar modes that do not form part of the consistent truncation. This includes deformations of AdS$_4 \times S^7$ and AdS$_5 \times S^5$ by modes that are not part of the ${\cal N}=8$ supermultiplet. As an application, we compute the full Kaluza-Klein spectrum of the ${\cal N}=1$ and ${\cal N}=0$ squashed $S^7$. In this example, all conformal dimensions are captured by a universal formula in terms of the Casimir operators and additional quantum numbers which organise the spectrum.
