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| Main Authors: | , |
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| Format: | Preprint |
| Published: |
2026
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| Subjects: | |
| Online Access: | https://arxiv.org/abs/2603.17364 |
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| _version_ | 1866917451849007104 |
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| author | Laliberte, Samuel Toriumi, Reiko |
| author_facet | Laliberte, Samuel Toriumi, Reiko |
| contents | We explore how matrix bootstrap techniques can be used to constrain matrix and tensor models at finite $N$, where $N$ is the dimension of the matrix/tensor, taking a Gaussian model with a quartic interaction as example. For matrix models, we find further evidence that bounds do not depend explicitly on $N$, but rather on properties of multi-trace expectation values. For tensor models, the structure of the Schwinger-Dyson equations allow for bounds that vary as a function of $N$, admitting a broader scan of the parameter space of the theory. In the latter case, we find novel bounds on the two-point function as a function of the quartic coupling of the theory. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2603_17364 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | Finite-$N$ Bootstrap Constraints in Matrix and Tensor Models Laliberte, Samuel Toriumi, Reiko High Energy Physics - Theory We explore how matrix bootstrap techniques can be used to constrain matrix and tensor models at finite $N$, where $N$ is the dimension of the matrix/tensor, taking a Gaussian model with a quartic interaction as example. For matrix models, we find further evidence that bounds do not depend explicitly on $N$, but rather on properties of multi-trace expectation values. For tensor models, the structure of the Schwinger-Dyson equations allow for bounds that vary as a function of $N$, admitting a broader scan of the parameter space of the theory. In the latter case, we find novel bounds on the two-point function as a function of the quartic coupling of the theory. |
| title | Finite-$N$ Bootstrap Constraints in Matrix and Tensor Models |
| topic | High Energy Physics - Theory |
| url | https://arxiv.org/abs/2603.17364 |