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| Natura: | Preprint |
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2026
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| Accesso online: | https://arxiv.org/abs/2603.08638 |
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| _version_ | 1866914380201852928 |
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| author | Berthold, Jonathan Keppler, Hannes |
| author_facet | Berthold, Jonathan Keppler, Hannes |
| contents | We give the first and lowest order examples of 3-regular 3-edge-colored graphs that demonstrate the non-factorization of tensor model invariants in the large N limit of Gaussian random tensors, as proven on general grounds in [Gurau R., Joos F. and Sudakov B., Lett. Math. Phys., 115 (2025), arXiv:2506.15362 [math-ph]]. This non-factorization is in stark contrast to the well-known large N factorization for random matrices. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2603_08638 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | Low order maximally single-trace graphs as the first counterexamples to large N factorization in random tensors Berthold, Jonathan Keppler, Hannes Mathematical Physics High Energy Physics - Theory Combinatorics 81T32 (Primary), 05C70 (Secondary) We give the first and lowest order examples of 3-regular 3-edge-colored graphs that demonstrate the non-factorization of tensor model invariants in the large N limit of Gaussian random tensors, as proven on general grounds in [Gurau R., Joos F. and Sudakov B., Lett. Math. Phys., 115 (2025), arXiv:2506.15362 [math-ph]]. This non-factorization is in stark contrast to the well-known large N factorization for random matrices. |
| title | Low order maximally single-trace graphs as the first counterexamples to large N factorization in random tensors |
| topic | Mathematical Physics High Energy Physics - Theory Combinatorics 81T32 (Primary), 05C70 (Secondary) |
| url | https://arxiv.org/abs/2603.08638 |