Combinatorial properties of holographic entropy inequalities
Fuente:
arXiv
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| Autori principali: | , , , |
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| Natura: | Preprint |
| Pubblicazione: |
2026
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| _version_ | 1866909996363546624 |
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| author | Grimaldi, Guglielmo Headrick, Matthew Hubeny, Veronika E. Shteyner, Pavel |
| author_facet | Grimaldi, Guglielmo Headrick, Matthew Hubeny, Veronika E. Shteyner, Pavel |
| contents | A holographic entropy inequality (HEI) is a linear inequality obeyed by Ryu-Takayanagi holographic entanglement entropies, or equivalently by the minimum cut function on weighted graphs. We establish a new combinatorial framework for studying HEIs, and use it to prove several properties they share, including two majorization-related properties as well as a necessary and sufficient condition for an inequality to be an HEI. We thereby resolve all the conjectures presented in [arXiv:2508.21823], proving two of them and disproving the other two. In particular, we show that the null reduction of any superbalanced HEI passes the majorization test defined in [arXiv:2508.21823], thereby providing strong new evidence that all HEIs are obeyed in time-dependent holographic states. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2601_09987 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | Combinatorial properties of holographic entropy inequalities Grimaldi, Guglielmo Headrick, Matthew Hubeny, Veronika E. Shteyner, Pavel High Energy Physics - Theory Combinatorics Quantum Physics A holographic entropy inequality (HEI) is a linear inequality obeyed by Ryu-Takayanagi holographic entanglement entropies, or equivalently by the minimum cut function on weighted graphs. We establish a new combinatorial framework for studying HEIs, and use it to prove several properties they share, including two majorization-related properties as well as a necessary and sufficient condition for an inequality to be an HEI. We thereby resolve all the conjectures presented in [arXiv:2508.21823], proving two of them and disproving the other two. In particular, we show that the null reduction of any superbalanced HEI passes the majorization test defined in [arXiv:2508.21823], thereby providing strong new evidence that all HEIs are obeyed in time-dependent holographic states. |
| title | Combinatorial properties of holographic entropy inequalities |
| topic | High Energy Physics - Theory Combinatorics Quantum Physics |
| url | https://arxiv.org/abs/2601.09987 |