  This work studies domain walls between chirally-separated vacua in
supersymmetric Yang-Mills theory (SYM) on $\mathbb{R}^3\times\mathbb{S}^1$ in
the semiclassical limit. For all gauge groups we explicitly find the electric
fluxes of all BPS domain walls and fully characterize the representation that
they form under the global symmetry of SYM. We compute the characters of these
representations formed by the semiclassical domain walls. We also compute these
characters for the worldvolume TQFTs appearing in the literature for $SU(N)$
and $Sp(N)$ gauge groups. We find complete agreement between the two
computations, providing thus a dynamical test of the proposed worldvolume
TQFTs. We also propose a new worldvolume TQFT for $E_6$ domain walls,
subjecting it to the same tests. Finally, we study deconfinement of quarks on
domain walls for all gauge groups. We show that for all gauge groups confining
strings (stable in the abelianized regime) can end on domain walls, regardless
of whether or not the group has a center.
