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arXiv 1802.04306hep-th
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AdS $_3$中弦尖点的成对产生式

Pair-production of cusps on a string in AdS$_3$

David Vegh

摘要:

AdS $_3$时空中Nambu-Goto弦的经典运动由广义sinh-Gordon方程控制。它可以在局部化为sinh-Gordon(shG),cosh-Gordon(chG)或Liouville方程,这取决于诱导度量的标量曲率的值。在本文中,我研究的解决方案,同时包含shG型和chG型区域。这些区域之间的边界以光速移动。我表明,在这样的边界附近(广义)孤子可以经典地成对产生。孤子在世界面上的shG(chG)区域中作亚光(超光)运动,它们对应于弦上的尖点。一个直接的能量级联观察到的时刻对创建。为了计算,我使用了运动运动方程的精确离散化。解决方案是分段字符串。在这个离散系统中,成对产生导致shG区域的完全蒸发。末态是chG环境中的尖点气体。随函附上用于生成相关图形的Mathematica笔记本。

英文摘要:

The classical motion of a Nambu-Goto string in AdS$_3$ spacetime is governed by the generalized sinh-Gordon equation. It can locally be reduced to the sinh-Gordon (shG), cosh-Gordon (chG), or Liouville equation, depending on the value of the scalar curvature of the induced metric. In this paper, I examine solutions that contain both shG-type and chG-type regions. The boundary between these regions moves with the speed of light. I show that near such boundaries (generalized) solitons can be classically pair-produced. The solitons move subluminally (superluminally) in the shG (chG) region on the worldsheet, and they correspond to cusps on the string. A direct energy cascade is observed at the moment of pair-creation. For the calculations, I use an exact discretization of the equation of motion. The solutions are segmented strings. In this discrete system, pair-production leads to a complete evaporation of the shG region. The final state is a gas of cusps in a chG environment. A Mathematica notebook that has been used to generate the relevant figures is attached.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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