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Chaos-Integrability Transition in the BPS Subspace of the š¯’©=2 SYK Model
Abstract
We study chaos-integrability transition purely within a BPS subspace of a specific supersymmetric model that interpolates between the chaotic š¯’©=2 SYK model and an integrable š¯’©=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.
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BibTeX
@misc{miyahara2026chaosintegrability,
title = {{Chaos-Integrability Transition in the BPS Subspace of the $\mathcalN=2$ SYK Model}},
author = {Leon Miyahara and Shono Shibuya},
howpublished = {arXiv},
year = {2026},
month = aug,
doi = {10.48550/arxiv.2605.20913},
eprint = {2605.20913},
archivePrefix = {arXiv},
url = {https://arxiv.org/abs/2605.20913},
}
RIS
TY - UNPB
TI - Chaos-Integrability Transition in the BPS Subspace of the š¯’©=2 SYK Model
AU - Leon Miyahara
AU - Shono Shibuya
PY - 2026
DA - 2026/08/31
PB - arXiv
DO - 10.48550/arxiv.2605.20913
UR - https://arxiv.org/abs/2605.20913
AB - We study chaos-integrability transition purely within a BPS subspace of a specific supersymmetric model that interpolates between the chaotic š¯’©=2 SYK model and an integrable š¯’©=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.
ER -