SYK does not Transit Gloria Mundi just yet

TL;DR

This paper explores the complex dynamics of deformed SYK models, focusing on parameter regions where different couplings compete, and studies the crossover behaviors between fixed points using quantum mechanics analogies.

Contribution

It provides insights into the crossover phenomena between SYK fixed points in deformed models, highlighting the non-perturbative regimes where couplings are comparable.

Findings

Identification of parameter regions with competing SYK couplings

Analysis of crossover dynamics between fixed points

Use of quantum mechanics framework to study SYK transits

Abstract

This note discusses examples of 0+1-dimensional Liouvillean dynamics instigated by the various deformations of the Sachdev-Ye-Kitaev (SYK) model. In reference to such deformations the main focus is on the regions of parameter space where the competing SYK couplings are of comparable strength and can not be treated as each others perturbations in the vicinity of the conformal fixed points corresponding to the pure SYK_q models with different values of $q$. Crossovers between such fixed points ('SYK transits') can be efficiently studied in the equivalent framework of single-particle quantum mechanics.