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Complexity growth for topological black holes by holographic method
International Journal of Modern Physics A ( IF 1.4 ) Pub Date : 2020-09-10 , DOI: 10.1142/s0217751x20501523 Koichi Nagasaki 1
International Journal of Modern Physics A ( IF 1.4 ) Pub Date : 2020-09-10 , DOI: 10.1142/s0217751x20501523 Koichi Nagasaki 1
Affiliation
We consider the growth of the action for black hole space–time with a fundamental string. Our interest is to find the difference of the behavior between black holes with three different topologies in the scenario of complexity-action conjecture. These black holes have positive, negative and zero curvatures. We would like to calculate the action growth of these systems with a probe fundamental string according to the complexity-action conjecture. We find that for the case where the black holes have the toroidal horizon structure this probe string behaves very differently from the other two cases.
中文翻译:
拓扑黑洞的全息法复杂度增长
我们用一个基本弦来考虑黑洞时空作用的增长。我们的兴趣是在复杂性-作用猜想的场景中找到具有三种不同拓扑的黑洞之间的行为差异。这些黑洞有正曲率、负曲率和零曲率。我们想根据复杂性-动作猜想,用一个探测基本弦来计算这些系统的动作增长。我们发现,对于黑洞具有环形视界结构的情况,该探测弦的行为与其他两种情况非常不同。
更新日期:2020-09-10
中文翻译:
拓扑黑洞的全息法复杂度增长
我们用一个基本弦来考虑黑洞时空作用的增长。我们的兴趣是在复杂性-作用猜想的场景中找到具有三种不同拓扑的黑洞之间的行为差异。这些黑洞有正曲率、负曲率和零曲率。我们想根据复杂性-动作猜想,用一个探测基本弦来计算这些系统的动作增长。我们发现,对于黑洞具有环形视界结构的情况,该探测弦的行为与其他两种情况非常不同。