  We consider $\mathcal{N}$ = 2, 4 supersymmetric SYK models that have a
peculiar low energy behavior, with the entropy going like $S = S_{0} +
\text{(constant)}T^{a}$, where $a \neq 1$. The large $N$ equations for these
models are a generalization of equations that have been previously studied as
an unjustified truncation of the planar diagrams describing the BFSS matrix
quantum mechanics or other related matrix models. Here we reanalyze these
equations in order to better understand the low energy physics of these models.
We find that the scalar fields develop large expectation values which explore
the low energy valleys in the potential. The low energy physics is dominated by
quadratic fluctuations around these values. These models were previously
conjectured to have a spin glass phase. We did not find any evidence for this
phase by using the usual diagnostics, such as searching for replica symmetry
breaking solutions.
