M2-brane Dynamics in the Classical Limit of the BMN Matrix Model

Abstract

We investigate the large-N limit of the BMN matrix model by analyzing the dynamics of ellipsoidal M2-branes that spin in the 11-dimensional maximally supersymmetric SO(3)xSO(6) plane-wave background. We identify finite-energy solutions by specifying the local minima of the corresponding energy functional. These configurations are static in SO(3) due to the Myers effect and rotate in SO(6) with an angular momentum that is bounded from above. As a first step towards studying their chaotic properties, we evaluate the Lyapunov exponents of their radial fluctuations.

arXiv comment7 pages, 8 figures

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Cited by in corpus (7)

• Quantum chaos, thermalization and entanglement generation in real-time simulations of the BFSS matrix model
• Multipole Stability of Spinning M2-branes in the Classical Limit of the BMN Matrix Model
• Spinning solutions for the bosonic M2-brane with $C_{\pm }$ fluxes
• Periodic orbits in a near Yang-Mills potential
• Cascade of instabilities in the classical limit of the BMN matrix model
• M-theory as a dynamical system generator
• Turbulent aspects of BMN membrane dynamics