  We continue our program of mapping data of 4D $\mathcal{N}=2$ superconformal
field theories (SCFTs) onto observables of 2D chiral rational conformal field
theories (RCFTs) by revisiting an infinite set of strongly coupled
Argyres-Douglas (AD) SCFTs and their associated logarithmic 2D chiral algebras.
First, we turn on discrete flavor fugacities (for continuous flavor symmetries)
in a known correspondence between certain unrefined characters of these
logarithmic theories and unrefined characters of a set of unitary 2D chiral
RCFTs. Motivated by this discussion, we then study 4D Higgs branch
renormalization group flows (i.e., flows activated by vevs for which only
$su(2)_R\subset su(2)_R\times u(1)_R$ is spontaneously broken) emanating from
our AD theories from the point of view of the unitary 2D theories and find some
surprises. In particular, we argue that certain universal pieces of the
topological data underlying the 2D chiral algebra representations associated
with the 4D infrared (IR) theory can be computed, via Galois conjugation, in
the topological quantum field theory (TQFT) underlying the unitary ultraviolet
(UV) chiral RCFT. The mapping of this topological data from UV to IR agrees
with the fact that, in our theories, the moduli spaces we study consist of free
hypermultiplets at generic points if and only if the UV TQFT is a theory of
abelian anyons.
