This seminar addresses higher dimensional generalizations of the 0+1-dimensional Sachdev-Ye-Kitaev (SYK) model which presents an important example of potentially exact holographic correspondence. Unlike in the constructions where multiple spatial replicas of SYK are coupled via some local one- and/or two-particle hopping processes, this case study focuses on the long-range-correlated homogeneous systems. The pertinent strong-coupling solutions, emergent reparametrization symmetry, effective action for fluctuations, and a chaotic behavior (or a lack thereof) are discussed.