分段字符串和McMillan映射
Segmented strings and the McMillan map
摘要:
我们提出了新的精确解描述运动的封闭分段字符串在$AdS_3$的椭圆函数。解析表达式的存在是由于经典运动方程的可积性,在我们的例子中,这些运动方程简化为McMillan映射的实例。在测试近似下,我们还得到了基本弦和D1-膜的任意束缚态在$AdS_3$中运动的离散演化规则。
英文摘要:
We present new exact solutions describing motions of closed segmented strings in $AdS_3$ in terms of elliptic functions. The existence of analytic expressions is due to the integrability of the classical equations of motion, which in our examples reduce to instances of the McMillan map. We also obtain a discrete evolution rule for the motion in $AdS_3$ of arbitrary bound states of fundamental strings and D1-branes in the test approximation.
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