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Revisiting Brownian SYK and its possible relations to de Sitter

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arxiv 2312.03623 v2 pith:7LJXRRTC submitted 2023-12-06 hep-th cond-mat.stat-mechquant-ph

classification hep-thcond-mat.stat-mechquant-ph
keywords brownianfunctionsmodelsitterarguebeforeboundedcomment
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We revisit Brownian Sachdev-Ye-Kitaev model and argue that it has emergent energy conservation overlooked in the literature before. We solve this model in the double-scaled regime and demonstrate hyperfast scrambling, exponential decay of correlation functions, bounded spectrum and unexpected factorization of higher-point functions. We comment on how these results are related to de Sitter holography.

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  1. Out-of-time-ordered Correlators in de Sitter Revisited

    hep-th 2026-07 conditional novelty 7.0 of 10

    The de Sitter OTOC grows at the maximal Lyapunov rate 2π/β at tree level and at twice that rate in a massive-graviton-regulated double-scaling limit, with the growth traced to large diffeomorphisms in the graviton propagator.

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