Holographic entanglement negativity for disjoint subsystems in AdSd+1/CFT<sub><i>d</i></sub>
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 d s) dual to bulk AdS[Formula: see text] geometries. Our proposal follows from the corresponding AdS 3 /CFT 2 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 d s dual to bulk pure AdS[Formula: see text] geometries and AdS[Formula: see text]-Schwarzschild black holes.
Authors
- Jaydeep Kumar Basak (ORCID: https://orcid.org/0000-0002-1902-5326)
- Himanshu Parihar (ORCID: https://orcid.org/0000-0003-4060-3175)
- Boudhayan Paul (ORCID: https://orcid.org/0000-0003-3721-6289)
- Gautam Sengupta (ORCID: https://orcid.org/0000-0002-1118-6926)
Institutions
- National Sun Yat-sen University (TW)
- National Tsing Hua University (TW)
- National Center for Theoretical Sciences (TW)
- National Center for Theoretical Sciences, Physics Division
- Beijing Institute of Mathematical Sciences and Applications
- Indian Institute of Technology Kanpur (IN)
Publication Details
- Journal
- International Journal of Modern Physics A
- Published
- 2024-10-17
- DOI
- https://doi.org/10.1142/s0217751x24501409
- Citations
- 1
- Primary Topic
- Quantum many-body systems
- Type
- article
- Field-Weighted Citation Impact
- 0.34