  I study finite-temperature $\mathcal N=1$ super Yang-Mills for any gauge
group $G=A_N, B_N, C_N, D_N, E_{6,7,8},F_4,G_2$, compactified from four
dimensions on a torus, $\mathbb R^2\times S^1_L\times S^1_{\beta}$. I examine
in particular the low temperature regime $L\ll\beta=1/T$, where $L$ is the
length of the spatial circle with periodic boundary conditions and with
anti-periodic boundary conditions for the adjoint gauginos along the thermal
cycle $S^1_{\beta}$. For small such $L$ we are in a regime were semiclassical
calculations can be performed and a transition occurs at $T_c$ much smaller
than $1/NL$. The transition is mediated by the competition between
non-perturbative objects including 'exotic' topological molecules: neutral and
magnetic bions composed of BPS and KK monopole constituents, with $r=rank(G)$
different charges in the co-root lattice of the gauge group $G$, and the
perturbative electrically charged W-bosons (along with their wino
superpartners). I determine a duality to a double Coulomb gas of neutral and
magnetic bions of different charges of their constituent monopole-instantons,
and W-bosons of both scalar and electric charges. Aharanov-Bohm interactions
exist between magnetic bions and W-bosons, and scalar charges of W-bosons and
neutral bions attract like charges, as opposed to the magnetic and electric
charges where like charges repel. It is hoped in the future that lattice
studies of this Coulomb gas can be done as in [1] for all gauge groups. It is
hoped that a dual lattice 'affine' XY model with symmetry breaking
perturbations can also be found in future studies of general gauge group as
done in [1] for $SU(2)$.
