# M-theory as a dynamical system generator.

@article{Axenides2020MtheoryAA, title={M-theory as a dynamical system generator.}, author={Minos Axenides and Emmanuel Floratos and Dimitrios Katsinis and Georgios Linardopoulos}, journal={arXiv: High Energy Physics - Theory}, year={2020} }

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… Expand

#### One Citation

Cascade of instabilities in the classical limit of the Berenstein-Maldacena-Nastase matrix model

- Physics
- Physical Review D
- 2021

We study the leading (LO) and the next-to-leading order (NLO) stability of multipole perturbations for a static dielectric M2-brane with spherical topology in the 11-dimensional maximally… Expand

#### References

SHOWING 1-10 OF 25 REFERENCES

M2-brane dynamics in the classical limit of the BMN matrix model

- Physics
- 2017

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 S O ( 3 ) × S O ( 6 )… Expand

Chaos in classical D0-brane mechanics

- Physics
- 2015

A bstractWe study chaos in the classical limit of the matrix quantum mechanical system describing D0-brane dynamics. We determine a precise value of the largest Lyapunov exponent, and, with less… Expand

Euler Top dynamics of Nambu-Goto p-branes

- Physics
- 2007

We propose a method to obtain new exact solutions of spinning p-branes in flat space-times for any p, which manifest themselves as higher dimensional Euler Tops and minimize their energy functional.… Expand

Ramond–Ramond field radiation from rotating ellipsoidal membranes

- Physics
- 2000

We find a new stable rotator solution in D0-brane matrix mechanics. The solution is interpreted as a D2/D0 brane bound state, constructed as a transversely rotating ellipsoidal membrane with N… Expand

Metastability of Spherical Membranes in Supermembrane and Matrix Theory

- Physics
- 2000

Motivated by recent work we study rotating ellipsoidal membranes in the framework of the light-cone supermembrane theory. We investigate stability properties of these classical solutions which are… Expand

M theory as a matrix model: A Conjecture

- Physics
- 1997

We suggest and motivate a precise equivalence between uncompactified 11-dimensional M theory and the N={infinity} limit of the supersymmetric matrix quantum mechanics describing D0 branes. The… Expand

Chaos in the BMN matrix model

- Physics, Mathematics
- 2015

A bstractWe study classical chaotic motions in the Berenstein-Maldacena-Nastase (BMN) matrix model. For this purpose, it is convenient to focus upon a reduced system composed of two-coupled… Expand

Multipole stability of spinning M2 branes in the classical limit of the Berenstein-Maldacena-Nastase matrix model

- Physics
- Physical Review D
- 2018

We explore the stability of a recently found class of spinning dielectric M2-branes in the 11-dimensional maximally supersymmetric plane-wave background. We find two small windows of instabilities in… Expand

Quadrupole instabilities of relativistic rotating membranes

- Physics
- 2001

(February 1, 2008)We generalize recent study of the stability of isotropic(spherical) rotating membranes to the anisotropic ellipsoidalmembrane. We ﬁnd that while the stability persists for… Expand

Strings in flat space and pp waves from ${\cal N}=4$ Super Yang Mills

- Physics
- 2002

We explain how the string spectrum in flat space and pp-waves arises from the large $N$ limit, at fixed $g^2_{YM}$, of U(N) ${\cal N} =4$ super Yang Mills. We reproduce the spectrum by summing a… Expand