Chaos-Integrability Transition in the BPS Subspace of the $\mathcal{N}=2$ SYK Model
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arXiv
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| Hauptverfasser: | , |
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| Format: | Preprint |
| Veröffentlicht: |
2026
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| _version_ | 1866918513732485120 |
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| author | Miyahara, Leon Shibuya, Shono |
| author_facet | Miyahara, Leon Shibuya, Shono |
| contents | We study chaos-integrability transition purely within a BPS subspace of a specific supersymmetric model that interpolates between the chaotic $\mathcal{N}=2$ SYK model and an integrable $\mathcal{N}=2$ "commuting" SYK model. Using the framework of BPS chaos, we analyze the spectrum of an operator projected onto the BPS subspace. We numerically find that its spectral statistics exhibit random-matrix behavior near the SYK limit and smoothly transitions to Poisson statistics near the integrable limit. Our results provide a direct example of a chaos-integrability crossover diagnosed solely from BPS states. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2605_20913 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | Chaos-Integrability Transition in the BPS Subspace of the $\mathcal{N}=2$ SYK Model Miyahara, Leon Shibuya, Shono High Energy Physics - Theory Strongly Correlated Electrons Quantum Physics We study chaos-integrability transition purely within a BPS subspace of a specific supersymmetric model that interpolates between the chaotic $\mathcal{N}=2$ SYK model and an integrable $\mathcal{N}=2$ "commuting" SYK model. Using the framework of BPS chaos, we analyze the spectrum of an operator projected onto the BPS subspace. We numerically find that its spectral statistics exhibit random-matrix behavior near the SYK limit and smoothly transitions to Poisson statistics near the integrable limit. Our results provide a direct example of a chaos-integrability crossover diagnosed solely from BPS states. |
| title | Chaos-Integrability Transition in the BPS Subspace of the $\mathcal{N}=2$ SYK Model |
| topic | High Energy Physics - Theory Strongly Correlated Electrons Quantum Physics |
| url | https://arxiv.org/abs/2605.20913 |