Weakly nonlinear dynamics in anti-de Sitter (AdS) spacetimes is reviewed, kee** an eye
on the AdS instability conjecture and focusing on the resonant approximation that accurately …

We identify a class of trap** potentials in cubic nonlinear Schrödinger equations (NLSEs)
that make them nonintegrable, but prevent the emergence of power spectra associated with …

A bstract We study a non-relativistic limit of physics in AdS which retains the curvature
through a harmonic Newtonian potential. This limit appears in a CFT dual through the …

Cosmological acceleration is difficult to accommodate in theories of fundamental
interactions involving supergravity and superstrings. An alternative is that the acceleration is …

In recent years, the AdS instability conjecture, put forward by Dafermos-Holzegel in 2006,
has attracted a substantial amount of numerical and heuristic studies. Following the …

A bstract In 2+ 1 dimensions, we propose a renormalizable non-linear sigma model action
which describes the\(\mathcal {N}\)= 2 supersymmetric generalization of Galilean …

We consider the long-term weakly nonlinear evolution governed by the two-dimensional
nonlinear Schrödinger (NLS) equation with an isotropic harmonic oscillator potential. The …

We address the difference between integrable and chaotic motion in quantum theory as
manifested by the complexity of the corresponding evolution operators. Complexity is …

Recent studies of the weakly nonlinear dynamics of probe fields in global AdS 4 (and of the
nonrelativistic limit of AdS resulting in the Gross-Pitaevskii equation) have revealed a …

We study free particle motion on homogeneous kinematical spacetimes of galilean type. The
three well-known cases of Galilei and (A) dS-Galilei spacetimes are included in our analysis …