Deconstructing the E0 SCFT to Solve the Orbifold Paradox of the Heterotic M Theory
Abstract
Many heterotic orbifold models have massless twisted-sector particles with simultaneous E81 and E82 charges. In the strong-coupling M-theory dual of the heterotic string this poses a paradox: Since the E81 and E82 live at opposite ends of the x10 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 E0 SCFT at the Z3 fixed point) works at the superconformal point (rather that at the Coulomb branch) and how it interacts with the boundaries of the x10. We find that the massless twisted states are not localized in the x10. Instead, they are non-local meson-like composite particles comprised of a quark living at one boundary of the x10, and antiquark living at the other boundary, and the string of strongly-interacting 5D gluons connecting the quark to the antiquark.