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arXiv 2210.04036hep-th
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平坦空间中的手征高自旋全息:Flato-Fronsdal定理和低点函数

Chiral higher-spin holography in flat space: the Flato-Fronsdal theorem and lower-point functions

Dmitry Ponomarev

摘要:

我们证明了Flato-Fronsdal定理的平坦空间模拟。它采用了最近建议的平面空间单例表示法。我们通过推导出一个内核来实现这一点,该内核将一对单点表示与平坦空间中的无质量高自旋场交织在一起。接下来,我们推导出平坦空间单态的两点函数,然后用它们来构造无质量高自旋场对偶理论中的两点和三点散射振幅。这些振幅与手征高自旋理论中的振幅一致。

英文摘要:

We prove the flat space analogue of the Flato-Fronsdal theorem. It features the flat space singleton representation suggested recently. We do that by deriving a kernel that intertwines a pair of singleton representations with massless higher-spin fields in flat space. Next, we derive two-point functions of flat space singletons, which are then used to construct two- and three-point scattering amplitudes in the dual theory of massless higher-spin fields. These amplitudes agree with amplitudes in the chiral higher-spin theory.

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