On a (pseudo)holographic nature of the SYK-like models
Keywords: Sachdev–Ye–Kitaev (SYK) model, holographic systems, Schwarzian dynamics
AbstractSome generalizations of the Sachdev–Ye–Kitaev (SYK) model and diﬀerent patterns of their reparametrization symmetry breaking are discussed. The analysis of such (pseudo)holographic systems relates their generalized onedimensional Schwarzian dynamics to (quasi) two-dimensional Liouvillian quantum mechanics. As compared to the original SYK case, the latter might be dissipative or have discrete states in its spectrum, either of which properties alters thermodynamics and correlations while preserving the underlying SL(2, R) symmetry.
Condensed Matter Physics and Technology