Beyond $2$-to-$2$: Geometrization of Entanglement Wedge Connectivity in Holographic Scattering
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arXiv
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| Format: | Preprint |
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2025
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| _version_ | 1866911392388349952 |
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| author | Zhao, Bowen |
| author_facet | Zhao, Bowen |
| contents | We extend recent discussions on generalization of the Connected Wedge Theorem about $2$-to-$2$ holographic scattering problem to $n$-to-$n$ scatterings ($n>2$). In this broader setting, our theorem provides a weaker necessary condition for the connectedness of boundary entanglement wedges than previously identified. Besides, we prove a novel sufficient condition for this connectedness. We also present an analysis of the criteria ensuring a non-empty entanglement wedge intersection region $\mathcal{S}_E$. These results refine the holographic dictionary between geometric connectivity and quantum entanglement for general multi-particle scattering. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2512_06815 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Beyond $2$-to-$2$: Geometrization of Entanglement Wedge Connectivity in Holographic Scattering Zhao, Bowen High Energy Physics - Theory General Relativity and Quantum Cosmology We extend recent discussions on generalization of the Connected Wedge Theorem about $2$-to-$2$ holographic scattering problem to $n$-to-$n$ scatterings ($n>2$). In this broader setting, our theorem provides a weaker necessary condition for the connectedness of boundary entanglement wedges than previously identified. Besides, we prove a novel sufficient condition for this connectedness. We also present an analysis of the criteria ensuring a non-empty entanglement wedge intersection region $\mathcal{S}_E$. These results refine the holographic dictionary between geometric connectivity and quantum entanglement for general multi-particle scattering. |
| title | Beyond $2$-to-$2$: Geometrization of Entanglement Wedge Connectivity in Holographic Scattering |
| topic | High Energy Physics - Theory General Relativity and Quantum Cosmology |
| url | https://arxiv.org/abs/2512.06815 |