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arXiv · 1501.00998

The missing top of AdS resonance structure

I-Sheng Yang
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Abstract

We study a massless scalar field in AdS_{d+1} with a nonlinear coupling ϕ^N and not limited to spherical symmetry. The free-field-eigenstate spectrum is strongly resonant, and it is commonly believed that the nonlinear coupling leads to energy transfer between eigenstates. We prove that when $Nd$ is even, the most efficient resonant channels to transfer energy are always absent. In particular, for N=3 this means no energy transfer at all. For N=4, this effectively kills half of the channels, leading to the same set of extra conservation laws recently derived for gravitational interactions within spherical symmetry.

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I-Sheng Yang. 2015-01-07. The missing top of AdS resonance structure. https://doi.org/10.1103/physrevd.91.065011

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