What kind of complexity is dual to holographic complexity?

doi:10.1140/epjc/s10052-022-10151-0

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	What kind of complexity is dual to holographic complexity?
	Yang, Run-Qiu ; An, Yu-Sen ; Niu, Chao ; Zhang, Cheng-Yong ; Kim, Keun-Young
刊名	EUROPEAN PHYSICAL JOURNAL C
	2022
卷号	82 期号:3 页码:262
关键词	COMPUTATIONAL-COMPLEXITY QUANTUM GEOMETRY
ISSN号	1434-6044
DOI	10.1140/epjc/s10052-022-10151-0
英文摘要	It is assumed that the holographic complexities such as the complexity-action (CA) and the complexity-volume (CV) conjecture are dual to complexity in field theory. However, because the definition of the complexity in field theory is still not complete, the confirmation of the holographic duality of the complexity is ambiguous. To improve this situation, we approach the problem from a different angle. We first identify minimal and genuin properties that the filed theory dual of the holographic complexity should satisfy without assuming anything from the circuit complexity or the information theory. Based on these properties, we propose a field theory formula dual to the holographic complexity. Our field theory formula implies that the complexity between certain states in two dimensional CFTs is given by the Liouville action, which is compatible with the path-integral complexity. It gives natural interpretations for both the CA and CV conjectures and identify what their reference states are. When applied to the thermo-field double states, it also gives consistent results with the holographic results in the CA conjecture: both the divergent term and finite term.
学科主题	Physics
语种	英语
内容类型	期刊论文
源URL	[http://ir.itp.ac.cn/handle/311006/27905]
专题	理论物理研究所_理论物理所1978-2010年知识产出
作者单位	1.Tianjin Univ, Sch Sci, Ctr Joint Quantum Studies, Yaguan Rd 135, Tianjin 300350, Peoples R China 2.[Niu, Chao 3.Tianjin Univ, Sch Sci, Dept Phys, Yaguan Rd 135, Tianjin 300350, Peoples R China 4.Chinese Acad Sci, Inst Theoret Phys, Beijing 100190, Peoples R China 5.Univ Chinese Acad Sci, Sch Phys Sci, Beijing 100049, Peoples R China 6.Jinan Univ, Dept Phys, Guangzhou 510632, Peoples R China 7.Jinan Univ, Siyuan Lab, Guangzhou 510632, Peoples R China 8.Gwangju Inst Sci & Technol, Dept Phys & Photon Sci, 123 Cheomdan Gwagiro, Gwangju 61005, South Korea 9.Gwangju Inst Sci & Technol, Res Ctr Photon Sci Technol, 123 Cheomdan Gwagiro, Gwangju 61005, South Korea
推荐引用方式 GB/T 7714	Yang, Run-Qiu,An, Yu-Sen,Niu, Chao,et al. What kind of complexity is dual to holographic complexity?[J]. EUROPEAN PHYSICAL JOURNAL C,2022,82(3):262.
APA	Yang, Run-Qiu,An, Yu-Sen,Niu, Chao,Zhang, Cheng-Yong,&Kim, Keun-Young.(2022).What kind of complexity is dual to holographic complexity?.EUROPEAN PHYSICAL JOURNAL C,82(3),262.
MLA	Yang, Run-Qiu,et al."What kind of complexity is dual to holographic complexity?".EUROPEAN PHYSICAL JOURNAL C 82.3(2022):262.