A Hidden Symmetry of AdS Resonances
Oleg Evnin, Chethan Krishnan
TL;DR
This paper uncovers a hidden SU(d) symmetry in AdS(d+1) scalar field modes, providing a potential explanation for observed selection rules in resonant energy transfer in AdS space.
Contribution
It explicitly identifies the hidden SU(d) symmetry in AdS mode functions and details the multiplet structure, advancing understanding of AdS resonances.
Findings
Mode functions form SU(d) multiplets
Selection rules may stem from this symmetry
Provides explicit symmetry structure in AdS modes
Abstract
Recent investigations have revealed powerful selection rules for resonant energy transfer between modes of non-linear perturbations in global anti-de Sitter (AdS) space-time. It is likely that these selection rules are due to the highly symmetric nature of the underlying AdS background, though the precise relation has remained unclear. In this article, we demonstrate that the equation satisfied by the scalar field mode functions in AdS(d+1) has a hidden SU(d) symmetry, and explicitly specify the multiplets of this SU(d) symmetry furnished by the mode functions. We also comment on the role this structure might play in explaining the selection rules.
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