  We give the explicit form of the half-string representation in the continuous
kappa basis. We show the comma structure of the three-vertex, when expanded
around an arbitrary projector, and that the zero-mode must be replaced by the
mid-point degree of freedom in the half-string representation. The treatment of
the ghost sector enables us to calculate the normalization of the vertices. The
simplicity of this formalism is demonstrated with some applications, such as
gauge transformations and identification of subalgebras.
