Entanglement negativity and replica symmetry breaking in general holographic states

Dong, Xi; Kudler-Flam, Jonah; Rath, Pratik

doi:10.1007/JHEP01(2025)022

Entanglement negativity and replica symmetry breaking in general holographic states

Journal Article · Thu Jan 02 00:00:00 EST 2025 · Journal of High Energy Physics

DOI:https://doi.org/10.1007/JHEP01(2025)022· OSTI ID:2999778

^[1]; ^[2]; ^[3]

University of California, Santa Barbara, CA (United States)
Institute for Advanced Study, Princeton, NJ (United States)
University of California, Berkeley, CA (United States)

The entanglement negativity $$\mathcal{E}$$(A : B) is a useful measure of quantum entanglement in bipartite mixed states. In random tensor networks (RTNs), which are related to fixed-area states, it was found in ref. [1] that the dominant saddles computing the even Rényi negativity $$\mathcal{E}$$^(2k) generically break the ℤ_2k replica symmetry. This calls into question previous calculations of holographic negativity using 2D CFT techniques that assumed ℤ_2k replica symmetry and proposed that the negativity was related to the entanglement wedge cross section. In this paper, we resolve this issue by showing that in general holographic states, the saddles computing $$\mathcal{E}$$^(2k) indeed break the ℤ_2k replica symmetry.

View Accepted Manuscript (DOE)

Research Organization:: University of California, Berkeley, CA (United States)

Sponsoring Organization:: Air Force Office of Scientific Research (AFOSR); National Science Foundation (NSF); USDOE Office of Science (SC), High Energy Physics (HEP)

Grant/Contract Number:: AC02-05CH11231; SC0011702; SC0019380

OSTI ID:: 2999778

Alternate ID(s):: OSTI ID: 2999762

Journal Information:: Journal of High Energy Physics, Journal Name: Journal of High Energy Physics Journal Issue: 1 Vol. 2025; ISSN 1029-8479

Publisher:: Springer Science and Business Media LLCCopyright Statement

Country of Publication:: United States

Language:: English

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