Holographic complexity from Crofton's formula in Lorentzian AdS3

被引：2
|
作者：
Huang, Xing [1 ,2 ]
Zhang, Le [1 ,2 ]
机构：
[1] Northwest Univ, Inst Modern Phys, Xian 710069, Peoples R China
[2] Shaanxi Key Lab Theoret Phys Frontiers, Xian 710069, Peoples R China
来源：
INTERNATIONAL JOURNAL OF MODERN PHYSICS A | 2019年 / 34卷 / 35期
关键词：
Crofton's formula; complexity; AdS/CFT correspondence;
D O I：
10.1142/S0217751X19502373
中图分类号：
O57 [原子核物理学、高能物理学];
学科分类号：
070202 ;
摘要：
We study Crofton's formula in the Lorentzian AdS(3) and find that the area of a generic spacelike two-dimensional surface is given by the flux of spacelike geodesics. The "complexity = volume" conjecture then implies a new holographic representation of complexity in terms of the number of geodesics. Finally, we explore the possible explanation of this result from the standpoint of information theory.
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收藏
页数：18
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