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Cited by 292

The DOI matches its Crossref record; 79 of the 79 references it cites were found in a registry or an index.

Comments on holographic complexity

Open access
Carmi, Dean, Myers, Robert C., Rath, Pratik·2017·Journal of High Energy Physics

Abstract

We study two recent conjectures for holographic complexity: the complexity=action conjecture and the complexity=volume conjecture. In particular, we examine the structure of the UV divergences appearing in these quantities, and show that the coefficients can be written as local integrals of geometric quantities in the boundary. We also consider extending these conjectures to evaluate the complexity of the mixed state produced by reducing the pure global state to a specific subregion of the boundary time slice. The UV divergences in this subregion complexity have a similar geometric structure, but there are also new divergences associated with the geometry of the surface enclosing the boundary region of interest. We discuss possible implications arising from the geometric nature of these UV divergences.

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Metadata

Authors
Carmi, D., Myers, R. C., & Rath, P.
Venue
Journal of High Energy Physics
Published
2017-03
Volume
2017
Issue
3
ISSN
1029-8479 (ISSN-L)
OpenAlex
W2558734470
Cited by
292
References
79
FWCI
25.77
Type
journal article
Language
en
Open access
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CoChat. (2026). Citation check: Comments on holographic complexity. https://app.cochat.ai/papers/10.1007/jhep03(2017)118
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Carmi, D., Myers, R. C., & Rath, P. (2017). Comments on holographic complexity. Journal of High Energy Physics. https://doi.org/10.1007/jhep03(2017)118

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Contains information from the Semantic Scholar Academic Graph Datasets, made available under the ODC Attribution License (ODC-BY 1.0).

Semantic Scholar’s data is described in: Kinney, R., et al. (2023). The Semantic Scholar Open Data Platform. arXiv:2301.10140.