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arXiv 1411.3151hep-th
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高自旋全息术、RG和光锥

Higher Spin Holography, RG, and the Light Cone

Eric Mintun, Joseph Polchinski

摘要:

本文回顾了用对偶场论中的重整化群推导高自旋体理论的过程。我们认为,现有的建议已经在AdS的线性化扰动的水平上的问题。这是由于截止的形式,它必须作用于基本场中的双线性,而不是场本身。对于光锥集体场论,我们证明了RG产生了正确的线性化扰动。我们将其与de Mello Koch,Jevicki,Jin和Rodrigues的前体公式联系起来,并且我们还详细说明了该结果。协变RG和散装相互作用仍然是未来的问题。

英文摘要:

We revisit the derivation of higher spin bulk theory using the renormalization group in the dual field theory. We argue that existing proposals have problems already at the level of linearized perturbations on AdS. This is due to the form of the cutoff, which must act on bilinears in the fundamental fields rather than on the fields themselves. For the light-cone collective field theory, we show that the RG produces the correct linearized perturbations. We relate this to the precursor formula of de Mello Koch, Jevicki, Jin and Rodrigues, and we also elaborate on that result. The covariant RG and bulk interactions remain problems for the future.

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