Upper bound of holographic entanglement entropy combinations
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arXiv
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| Main Authors: | , , |
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| Format: | Preprint |
| Published: |
2025
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| _version_ | 1866908531215564800 |
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| author | Ju, Xin-Xiang Sun, Ya-Wen Zhao, Yang |
| author_facet | Ju, Xin-Xiang Sun, Ya-Wen Zhao, Yang |
| contents | In this work, we develop a systematic formalism to evaluate the upper bound of a large family of holographic entanglement entropy combinations when fixing $n$ 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 $n+1$-partite entanglement that $n$ fixed subsystems participate in. In AdS$_3$/CFT$_2$, AdS$_4$/CFT$_3$, 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. |
| format | Preprint |
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arxiv_https___arxiv_org_abs_2505_11059 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Upper bound of holographic entanglement entropy combinations Ju, Xin-Xiang Sun, Ya-Wen Zhao, Yang High Energy Physics - Theory In this work, we develop a systematic formalism to evaluate the upper bound of a large family of holographic entanglement entropy combinations when fixing $n$ 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 $n+1$-partite entanglement that $n$ fixed subsystems participate in. In AdS$_3$/CFT$_2$, AdS$_4$/CFT$_3$, 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. |
| title | Upper bound of holographic entanglement entropy combinations |
| topic | High Energy Physics - Theory |
| url | https://arxiv.org/abs/2505.11059 |