Journal
PHYSICS LETTERS B
Volume 699, Issue 5, Pages 388-393Publisher
ELSEVIER
DOI: 10.1016/j.physletb.2011.04.027
Keywords
Chaos; Non-integrability; Holography; String theory
Funding
- [NSF-PHY-0855614]
- Division Of Physics
- Direct For Mathematical & Physical Scien [0855614] Funding Source: National Science Foundation
Ask authors/readers for more resources
It is known that classical string dynamics on pure AdS(5) x S-5 is integrable and plays an important role in solvability. This is a deep and central issue in holography. Here we investigate similar classical integrability for a more realistic confining background and provide a negative answer. The dynamics of a class of simple string configurations on AdS soliton background can be mapped to the dynamics of a set of non-linearly coupled oscillators. In a suitable limit of small fluctuations we discuss a quasi-periodic analytic solution of the system. Numerics indicates chaotic behavior as the fluctuations are not small. Integrability implies the existence of a regular foliation of the phase space by invariant manifolds. Our numerics shows how this nice foliation structure is eventually lost due to chaotic motion. We also verify a positive Lyapunov index for chaotic orbits. Our dynamics is roughly similar to other known non-integrable coupled oscillator systems like Henon-Heiles equations. (C) 2011 Elsevier B.V. All rights reserved.
Authors
I am an author on this paper
Click your name to claim this paper and add it to your profile.
Reviews
Recommended
No Data Available