M-theory as a dynamical system generator
Minos Axenides, Emmanuel Floratos, Dimitrios Katsinis, Georgios, Linardopoulos
TL;DR
This paper reviews recent work on ellipsoidal M2-brane solutions within the BMN matrix model, highlighting their stability properties, chaotic behavior, and potential turbulence instabilities in a plane-wave spacetime context.
Contribution
It introduces new ellipsoidal M2-brane solutions in the BMN matrix model and analyzes their stability, chaos, and turbulence phenomena.
Findings
Chaos identified in radial stability spectrum
Weak turbulence instabilities suggested by angular perturbations
Membrane solutions are static or stationary in symmetric spacetimes
Abstract
We review our recent work on ellipsoidal M2-brane solutions in the large-N limit of the BMN matrix model. These bosonic finite-energy membranes live inside SO(3)xSO(6) symmetric plane-wave spacetimes and correspond to local extrema of the energy functional. They are static in SO(3) and stationary in SO(6). Chaos appears at the level of radial stability analysis through the explicitly derived spectrum of eigenvalues. The angular perturbation analysis is suggestive of the presence of weak turbulence instabilities that propagate from low to high orders in perturbation theory.
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