Locality constraints in AdS$_2$ without parity
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arXiv
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| Main Authors: | , , , , |
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| Format: | Preprint |
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2025
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| _version_ | 1866914353410736128 |
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| author | Loparco, Manuel Mathys, Grégoire Penedones, João Qiao, Jiaxin Zhao, Xiang |
| author_facet | Loparco, Manuel Mathys, Grégoire Penedones, João Qiao, Jiaxin Zhao, Xiang |
| contents | We study bulk locality constraints in quantum field theories in AdS$_2$. The known derivation of locality sum rules in AdS$_{d+1}$ does not apply for $d=1$ due to the different singularity structure of the conformal blocks and the inequivalence of operator orderings on the boundary. Assuming unitarity and a mild growth condition, we establish power-law bounds for correlators, derive dispersion relations and an expansion in terms of ``even'' and ``odd'' local blocks that converges in the entire AdS$_2$. These yield two novel families of symmetric and antisymmetric locality sum rules. We test these sum rules explicitly in the free scalar field theory. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2511_20749 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Locality constraints in AdS$_2$ without parity Loparco, Manuel Mathys, Grégoire Penedones, João Qiao, Jiaxin Zhao, Xiang High Energy Physics - Theory High Energy Physics - Phenomenology We study bulk locality constraints in quantum field theories in AdS$_2$. The known derivation of locality sum rules in AdS$_{d+1}$ does not apply for $d=1$ due to the different singularity structure of the conformal blocks and the inequivalence of operator orderings on the boundary. Assuming unitarity and a mild growth condition, we establish power-law bounds for correlators, derive dispersion relations and an expansion in terms of ``even'' and ``odd'' local blocks that converges in the entire AdS$_2$. These yield two novel families of symmetric and antisymmetric locality sum rules. We test these sum rules explicitly in the free scalar field theory. |
| title | Locality constraints in AdS$_2$ without parity |
| topic | High Energy Physics - Theory High Energy Physics - Phenomenology |
| url | https://arxiv.org/abs/2511.20749 |