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| Main Author: | |
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| Format: | Preprint |
| Published: |
2025
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| Subjects: | |
| Online Access: | https://arxiv.org/abs/2511.00790 |
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| _version_ | 1866909897506947072 |
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| author | Chen, Yiming |
| author_facet | Chen, Yiming |
| contents | We construct and study a supersymmetric quantum mechanical model with a single $U(N)$ adjoint fermionic matrix. The model is exactly solvable yet contains a large number of fortuitous states. We investigate these states exactly at finite $N$ and, in the large $N$ limit, via a unitary matrix model. In particular, we develop a way to "follow $N$" in the unitary matrix integral and study how the answer of the integral depends sensitively on the value of $N$. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2511_00790 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Fortuity with a single matrix Chen, Yiming High Energy Physics - Theory We construct and study a supersymmetric quantum mechanical model with a single $U(N)$ adjoint fermionic matrix. The model is exactly solvable yet contains a large number of fortuitous states. We investigate these states exactly at finite $N$ and, in the large $N$ limit, via a unitary matrix model. In particular, we develop a way to "follow $N$" in the unitary matrix integral and study how the answer of the integral depends sensitively on the value of $N$. |
| title | Fortuity with a single matrix |
| topic | High Energy Physics - Theory |
| url | https://arxiv.org/abs/2511.00790 |