  In 2013, Balasubramanian presented a 5+1 dimensional holographic toy model
that allows for an exact solution to Einstein's equations in the bulk in which
the isometries of $AdS_5$ appear to be broken to an isometry group describing a
discretely scale invariant and Poincar\'e invariant setup [arXiv:1301.6653]. In
this paper, we investigate this solution in more detail. By analytically
solving the Killing equations, we prove that the full $AdS_5$ isometry group is
still present, although in a somewhat hidden way. We will also comment on the
prospects of finding other holographic bottom up toy models which allow for
solutions with discrete scale invariance or scale invariance without conformal
invariance in the future.
