  Parafermionic zero modes are non-Abelian excitations which have been
predicted to emerge at the boundary of topological phases of matter. Contrary
to earlier proposals, here we show that such zero modes may also exist in
multilegged star junctions of quantum Hall states. We demonstrate that the
quantum states spanning the degenerate parafermionic Hilbert space may be
detected and manipulated through protocols employing quantum antidots and
fractional edge modes. Such star-shaped setups may be the building blocks of
two-dimensional parafermionic networks.
