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Department of Physics, National Sun Yat-Sen University, Kaohsiung 80424, Taiwan

Center for Theoretical and Computational Physics, Kaohsiung 80424, Taiwan

E-mail Address: jaydeep@mail.nsysu.edu.tw

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Himanshu Parihar

https://orcid.org/0000-0003-4060-3175

Center of Theory and Computation, National Tsing-Hua University, Hsinchu 30013, Taiwan

Physics Division, National Center for Theoretical Sciences, Taipei 10617, Taiwan

E-mail Address: himansp@phys.ncts.ntu.edu.tw

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Boudhayan Paul

https://orcid.org/0000-0003-3721-6289

Beijing Institute of Mathematical Sciences and Applications, Beijing 101408, China

E-mail Address: paul@bimsa.cn

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, and

Gautam Sengupta

https://orcid.org/0000-0002-1118-6926

Department of Physics, Indian Institute of Technology Kanpur, Kanpur, Uttar Pradesh 208016, India

E-mail Address: sengupta@iitk.ac.in

Corresponding author.

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https://doi.org/10.1142/S0217751X24501409Cited by:0 (Source: Crossref)

Abstract

In this paper, we propose a construction to compute the holographic entanglement negativity (HEN) for bipartite mixed state configurations of two disjoint subsystems in higher-dimensional conformal field theories (CFT_ds) dual to bulk AdS $_{d + 1}$ $_{d + 1}$ geometries. Our proposal follows from the corresponding AdS₃/CFT₂ scenario and involves an algebraic sum of the areas of bulk RT surfaces for certain combinations of subsystems. By utilizing our construction, we compute the HEN at the leading order through a perturbative expansion, for such bipartite mixed states of two disjoint subsystems with long rectangular strip geometries in CFT_ds dual to bulk pure AdS $_{d + 1}$ $_{d + 1}$ geometries and AdS $_{d + 1}$ $_{d + 1}$ -Schwarzschild black holes.

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