La,b,c颤规理论的不可积性

K. S. Rigatos
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引用次数: 15

摘要

证明了IIB型理论中的$AdS_5 \乘以L^{a,b,c}$解是不可积的。为此,我们考虑了一个串嵌入,并研究了它不允许Liouville可积解的波动。我们还进行了数值分析,研究了弦的时间演化,并计算了最大的Lyapunov指数。这一分析表明弦的运动是混沌的。最后,我们考虑了对应于颤振理论中BPS介子的弦的点极限。
本文章由计算机程序翻译,如有差异,请以英文原文为准。
Nonintegrability of La,b,c quiver gauge theories
We show that the $AdS_5 \times L^{a,b,c}$ solution in type IIB theory is non-integrable. To do so, we consider a string embedding and study its fluctuations which do not admit Liouville integrable solutions. We, also, perform a numerical analysis to study the time evolution of the string and compute the largest Lyapunov exponent. This analysis indicates that the string motion is chaotic. Finally, we consider the point-like limit of the string that corresponds to BPS mesons of the quiver theory.
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