The Geodesics Less Traveled: Nonminimal RT Surfaces and Holographic Scattering
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arXiv
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| Format: | Preprint |
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2025
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| _version_ | 1866914254153580544 |
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| author | Caminiti, Jacqueline Lima, Caroline Myers, Robert C. |
| author_facet | Caminiti, Jacqueline Lima, Caroline Myers, Robert C. |
| contents | The connected wedge theorem states that in order to have a scattering process in the bulk, it is necessary to have $O(1/G_N)$ mutual information between certain "decision" regions in the boundary theory. While this large mutual information is not generally sufficient to imply scattering, arxiv:2404.15400 showed that for a certain class of geometries, bulk scattering is implied by a certain relation between two (possibly non-minimal) Ryu-Takayanagi surfaces. Here, we show that the 2-to-2 version of the theorem becomes an equivalence in pure AdS$_3$: large mutual information between appropriate boundary subregions is both necessary and sufficient for bulk scattering. This result allows us to extend the findings of arxiv:2404.15400 to a broader class of asymptotically AdS$_3$ spacetimes, which we illustrate with the spinning conical defect geometry. In contrast, we find that matter sources can disrupt this converse relation, and that the $n$-to-$n$ version of the theorem with $n>2$ lacks a converse even in the AdS$_3$ vacuum. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2509_03597 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | The Geodesics Less Traveled: Nonminimal RT Surfaces and Holographic Scattering Caminiti, Jacqueline Lima, Caroline Myers, Robert C. High Energy Physics - Theory The connected wedge theorem states that in order to have a scattering process in the bulk, it is necessary to have $O(1/G_N)$ mutual information between certain "decision" regions in the boundary theory. While this large mutual information is not generally sufficient to imply scattering, arxiv:2404.15400 showed that for a certain class of geometries, bulk scattering is implied by a certain relation between two (possibly non-minimal) Ryu-Takayanagi surfaces. Here, we show that the 2-to-2 version of the theorem becomes an equivalence in pure AdS$_3$: large mutual information between appropriate boundary subregions is both necessary and sufficient for bulk scattering. This result allows us to extend the findings of arxiv:2404.15400 to a broader class of asymptotically AdS$_3$ spacetimes, which we illustrate with the spinning conical defect geometry. In contrast, we find that matter sources can disrupt this converse relation, and that the $n$-to-$n$ version of the theorem with $n>2$ lacks a converse even in the AdS$_3$ vacuum. |
| title | The Geodesics Less Traveled: Nonminimal RT Surfaces and Holographic Scattering |
| topic | High Energy Physics - Theory |
| url | https://arxiv.org/abs/2509.03597 |