Finite $N$ Hilbert Spaces of Bilocal Holography
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arXiv
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| Autores principales: | , , |
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| Formato: | Preprint |
| Publicado: |
2026
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| _version_ | 1866917320814755840 |
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| author | Koch, Robert de Mello Jevicki, Antal Yoon, Junggi |
| author_facet | Koch, Robert de Mello Jevicki, Antal Yoon, Junggi |
| contents | For vector/AdS and dS holography we establish the structure of the emergent Hilbert space. This is done through implementation of finite $N$ trace relations on the infinite collective space. For fermionic theories a finite Hilbert space is established, while for bosonic theories a space of freely acting primaries multiplied by a finite set of secondaries emerges. The Hilbert space of states obey finite $N$ cut off bounds, implying finiteness of traces and entropy. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2602_20788 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | Finite $N$ Hilbert Spaces of Bilocal Holography Koch, Robert de Mello Jevicki, Antal Yoon, Junggi High Energy Physics - Theory For vector/AdS and dS holography we establish the structure of the emergent Hilbert space. This is done through implementation of finite $N$ trace relations on the infinite collective space. For fermionic theories a finite Hilbert space is established, while for bosonic theories a space of freely acting primaries multiplied by a finite set of secondaries emerges. The Hilbert space of states obey finite $N$ cut off bounds, implying finiteness of traces and entropy. |
| title | Finite $N$ Hilbert Spaces of Bilocal Holography |
| topic | High Energy Physics - Theory |
| url | https://arxiv.org/abs/2602.20788 |