Neumann boundary conditions in anti-de Sitter space admit non-collapsing, multi-mode scalar solutions with arbitrarily small amplitude despite a fully resonant spectrum.
Three-dimensional gravity and instability of $\text{AdS}_{3}$
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abstract
This is an extended version of my lecture at the LIII Cracow School of Theoretical Physics in Zakopane in which I presented the results of joint work with Piotr Bizo\'n concerning (in)stability of the three-dimensional anti-de Sitter spacetime.
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New islands of stability with double-trace deformations
Neumann boundary conditions in anti-de Sitter space admit non-collapsing, multi-mode scalar solutions with arbitrarily small amplitude despite a fully resonant spectrum.