New islands of stability with double-trace deformations Article Swipe

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Spectrum (functional analysis) Dirichlet distribution Stability (learning theory) Physics Boundary (topology) Instability TRACE (psycholinguistics) Dirichlet boundary condition Boundary value problem Mode (computer interface) Amplitude Eigenvalues and eigenvectors Neumann boundary condition Mathematical analysis Mathematics Quantum mechanics Computer science Machine learning Philosophy Linguistics Operating system

Ramon Masachs , Benson Way ·

YOU? · · 2019 · Open Access · · DOI: https://doi.org/10.1103/physrevd.100.106017 · OA: W2965432855

We assess the role of a resonant spectrum in the AdS instability, and\nquantify the extent to which breaking the resonant spectrum of AdS can restore\nstability. Specifically, we study non-collapsing `multi-oscillator' solutions\nin AdS under various boundary conditions that allow for both resonant and\nnon-resonant spectra. We find non-collapsing two mode, equal amplitude\nsolutions in the non-resonant Robin case, and that these solutions vanish in\nthe fully resonant Dirichlet case. This is consistent with non-resonant\nstability, and with the idea that stable solutions in the Dirichlet case are\nall single-mode dominated. Surprisingly, when the boundary condition is\nNeumann, we find non-collapsing solutions arbitrarily close to AdS that are not\nsingle-mode dominated, despite the spectrum being fully resonant.\n