English

Subleading Weingartens

High Energy Physics - Theory 2022-03-14 v2 Strongly Correlated Electrons

Abstract

Haar integrals over the unitary group contain subleading terms that are needed for unitarity. We study analogous effects in the time evolution operators of JT gravity and Brownian SYK. In JT gravity with bulk matter we find an explanation for the first subleading terms, and in Brownian SYK we find configurations that can explain the full series. An important role is played by slightly off-shell modes that are exponentially amplified by chaos.

Cite

@article{arxiv.2107.10252,
  title  = {Subleading Weingartens},
  author = {Douglas Stanford and Zhenbin Yang and Shunyu Yao},
  journal= {arXiv preprint arXiv:2107.10252},
  year   = {2022}
}

Comments

32 pages + appendices, v2: minor corrections and references

R2 v1 2026-06-24T04:24:27.000Z