Analytic nonintegrability in string theory

被引：79

作者：

Basu, Pallab ^{[1
]}

Zayas, Leopoldo A. Pando ^{[2
]}

机构：

[1] Univ Kentucky, Dept Phys & Astron, Lexington, KY 40506 USA

[2] Univ Michigan, Michigan Ctr Theoret Phys, Ann Arbor, MI 48109 USA

来源：

PHYSICAL REVIEW D | 2011年 / 84卷 / 04期

基金：

美国国家科学基金会;

关键词：

HAMILTONIAN-SYSTEMS; INTEGRABILITY; DYNAMICS; ZIGLIN;

D O I：

10.1103/PhysRevD.84.046006

中图分类号：

P1 [天文学];

学科分类号：

0704 ;

摘要：

Using analytic techniques developed for Hamiltonian dynamical systems, we show that a certain classical string configuration in AdS(5) X X-5 with X-5 in a large class of Einstein spaces is nonintegrable. This answers the question of integrability of string on such backgrounds in the negative. We consider a string localized in the center of AdS(5) that winds around two circles in the manifold X-5.

引用

页数：5

共 26 条

[1]

[Anonymous], 1999, Differential Galois theory and non-integrability of Hamiltonian systems

[2]

[Anonymous], 1993, Chaos in Dynamical Systems

[3] Chaos rules out integrability of strings on AdS5 x T1,1 [J].