2021/07/31 by Douglas Stanford, Zhenbin Yang, Shunyu Yao · 1 citation
Mathematics · Physics and Astronomy · #Black Holes and Theoretical Physics #Brownian motion #Cosmology and Gravitation Theories #Geometry #Group (periodic table) #Mathematical physics #Mathematics #Noncommutative and Quantum Gravity Theories #Physics #Quantum mechanics #Series (stratigraphy) #Sine #Statistical physics #Theoretical physics #Unitarity #Unitary state #cond-mat.str-el #hep-th
paper · pdf · doi:10.1007/jhep02(2022)200
32 pages + appendices, v2: minor corrections and references
arxiv created 2022/01/10 · openalex publication_date 2022/02/01 · arxiv updated 2022/03/14 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/06
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.