  In the first part of this paper, we constructed a filtered U(r)-equivariant
stable homotopy type called the spectrum of strict broken symmetries sB(L) of
links L given by closing a braid with r strands. We further showed that
evaluating this spectrum on suitable U(r)-equivariant cohomology theories gives
rise to a spectral sequence of link invariants, converging to the homology of
the limiting spectrum. In this followup, we fix a positive integer n and apply
a version of an equivariant K-theory known as Dominant K-theory, which is built
from level n representations of the loop group of U(r). The E_2-term of the
spectral sequence appears to be a deformation of sl(n)-link homology, and has
the property that its value on the unlink is the Grothendieck group of level
n-representations of the loop group of U(1). Seen in contrast to the standard
interpretation of sl(n)-link homology using the fundamental representation of
the quantum group U_q(sl(n)), suggests a level-rank duality at play.
