paper

Upper bound of holographic entanglement entropy combinations

arXiv:2505.11059 · doi:10.1007/JHEP09(2025)085

Abstract

In this work, we develop a systematic formalism to evaluate the upper bound of a large family of holographic entanglement entropy combinations when fixing subsystems and fine-tuning one other subsystem. The upper bound configurations and values of these entropy combinations can be derived and classified. The upper bound of these entropy combinations reveals holographic -partite entanglement that fixed subsystems participate in. In AdS/CFT, AdS/CFT, and even higher-dimensional holography, one can, in principle, find different formulas of upper bound values, reflecting the fundamental difference in entanglement structure in different dimensions.

54 pages, 14 figures, v2: minor revision, match the published version

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