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

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arxiv 1707.02878 v1 pith:77DJ6ZGC submitted 2017-07-10 hep-th

Minos Axenides , Emmanuel Floratos , Georgios Linardopoulos This is my paper · ORCID
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keywords dynamicslimitmatrixmodelaboveanalyzingangularbackground
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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.

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Cited by 3 Pith papers

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score. Full citation record

  1. An exact algorithm for U(N) matrix models in the gauge-invariant singlet sector

    hep-th 2026-07 conditional novelty 7.0 of 10

    A group-theoretic algorithm computes U(N)-singlet Hamiltonian matrix elements as closed-form polynomials in N, validated for one matrix against the exact fermion mapping.

  2. Simulating matrix models with tensor networks

    hep-th 2024-12 conditional novelty 6.0 of 10

    Tensor-network DMRG simulations of SU(2) and small-SU(N) bosonic and supersymmetric matrix models give convergent ground states and entanglement measures, with costs that appear to grow polynomially with the number of...

  3. Turbulent aspects of BMN membrane dynamics

    hep-th 2024-12 conditional novelty 4.0 of 10

    The authors derive leading-order radial and angular stability spectra for two spherical BMN membrane configurations and demonstrate that next-to-leading-order couplings transfer dipole and quadrupole instabilities to ...

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