English

Revisiting Brownian SYK and its possible relations to de Sitter

High Energy Physics - Theory 2024-07-25 v2 Statistical Mechanics Quantum Physics

Abstract

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.

Keywords

Cite

@article{arxiv.2312.03623,
  title  = {Revisiting Brownian SYK and its possible relations to de Sitter},
  author = {Alexey Milekhin and Jiuci Xu},
  journal= {arXiv preprint arXiv:2312.03623},
  year   = {2024}
}

Comments

v2: updated references; v1: 1+20 pages, 4 figures