Sharp Bounds on Ground State Energy of the SYK Model
The study rigorously establishes sharp bounds for the ground state energy and operator norm of both dense and sparse versions of the Sachdev-Ye-Kitaev (SYK) model. By relating these properties to a twisted bosonic mapping, it provides concrete, tight mathematical limits on how fast these quantities scale with system size ($n$) and interaction strength ($k$), confirming predictions about the model's spectral edge.