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Classical Solutions in the BMN Matrix Model

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arxiv hep-th/0312166 v1 pith:7EL5CKOH submitted 2003-12-15 hep-th

classification hep-th
keywords matrixmodelsolutionsangularbosonicclassicalconstantcorrespond
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Several reductions of the bosonic BMN matrix model equations to ordinary point particle Hamiltonian dynamics in the plane (or R^3) are given - as well as a few explicit solutions (some of which, as N->infinity, correspond to membranes rotating with constant angular velocity, others to higher dimensional objects).

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Cited by 2 Pith papers

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

  1. Krylov Complexity for Plane Wave Matrix Model

    hep-th 2026-05 unverdicted novelty 6.0 of 10

    In reduced BMN matrix models, Lanczos coefficients scale linearly with the mass parameter, producing quadratic corrections to early-time Krylov complexity growth at the same order for both state and operator versions.

  2. 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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