  Many heterotic orbifold models have massless twisted-sector particles with
simultaneous E8_1 and E8_2 charges. In the strong-coupling M-theory dual of the
heterotic string this poses a paradox: Since the E8_1 and E8_2 live at opposite
ends of the x^10 dimension, where could a massless particle with both types of
charges possible live? To key to this question are the 5D SCFTs living at the
orbifold fixed planes going through the bulk of the M theory. We use
dimensional deconstruction to understand how such a 5D SCFT (specifically, the
E_0 SCFT at the Z_3 fixed point) works at the superconformal point (rather that
at the Coulomb branch) and how it interacts with the boundaries of the x^10. We
find that the massless twisted states are not localized in the x^10. Instead,
they are non-local meson-like composite particles comprised of a quark living
at one boundary of the x^10, and antiquark living at the other boundary, and
the string of strongly-interacting 5D gluons connecting the quark to the
antiquark.
