Turbulent aspects of BMN membrane dynamics
Fuente:
arXiv
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| Autori principali: | , , |
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| Natura: | Preprint |
| Pubblicazione: |
2024
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| _version_ | 1866908295110852608 |
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| author | Axenides, Minos Floratos, Emmanuel Linardopoulos, Georgios |
| author_facet | Axenides, Minos Floratos, Emmanuel Linardopoulos, Georgios |
| contents | We investigate the large-N limit of the BMN matrix model with classical bosonic membranes which have spherical topologies and spin inside the 11-dimensional maximally supersymmetric plane-wave background. First we classify all possible M2-brane configurations based on the distribution of their components inside the SO(3)xSO(6) symmetric plane-wave spacetime. We then formulate a number of simple but very representative ansatzes of dielectric tops that rotate in this space. We examine the leading-order radial and angular/multipole stability for a wide range of these configurations. By analyzing perturbations at the next-to-leading order, we find that they exhibit the phenomenon of turbulent cascading of instabilities. Thereby, long-wavelength perturbations generate higher-order multipole instabilities through their nonlinear couplings. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2412_02496 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Turbulent aspects of BMN membrane dynamics Axenides, Minos Floratos, Emmanuel Linardopoulos, Georgios High Energy Physics - Theory 81T30, 81T35, 83E30 We investigate the large-N limit of the BMN matrix model with classical bosonic membranes which have spherical topologies and spin inside the 11-dimensional maximally supersymmetric plane-wave background. First we classify all possible M2-brane configurations based on the distribution of their components inside the SO(3)xSO(6) symmetric plane-wave spacetime. We then formulate a number of simple but very representative ansatzes of dielectric tops that rotate in this space. We examine the leading-order radial and angular/multipole stability for a wide range of these configurations. By analyzing perturbations at the next-to-leading order, we find that they exhibit the phenomenon of turbulent cascading of instabilities. Thereby, long-wavelength perturbations generate higher-order multipole instabilities through their nonlinear couplings. |
| title | Turbulent aspects of BMN membrane dynamics |
| topic | High Energy Physics - Theory 81T30, 81T35, 83E30 |
| url | https://arxiv.org/abs/2412.02496 |