论文标题
混乱的弦乐运动以接近PP波的极限
Chaotic string motion in a near pp-wave limit
论文作者
论文摘要
我们以接近PP-WAVE的限制为$ _5 \ times $ s $^5 $以接近PP波的限制重新访问经典弦乐。众所周知，Toda晶格模型是可集成的。但是，如果指数势以有限顺序截断，则系统可能变得不可集成。特别是，当三粒子周期性TODA链中的指数势在动态变量的三阶截断时，所得系统成为众所周知的不可融合系统，亨逊·赫尔斯模型。同一件事可能会以接近PP波的限制为$ _5 \ times $ s $^5 $，经典的弦乐运动变得混乱。
We revisit classical string motion in a near pp-wave limit of AdS$_5\times$S$^5$. It is known that the Toda lattice models are integrable. But if the exponential potential is truncated at finite order, then the system may become non-integrable. In particular, when the exponential potential in a three-particle periodic Toda chain is truncated at the third order of the dynamical variables, the resulting system becomes a well-known non-integrable system, Henon-Heiles model. The same thing may happen in a near pp-wave limit of AdS$_5\times$S$^5$, on which the classical string motion becomes chaotic.
