  We study a model of resonant multilead point-contact tunneling by using the
boundary state formulation. At a critical point the model is described by
multi-flavor chiral fermions on an infinite line with a point contact
interaction at the origin. By applying the folding procedure, previously
developed for the model of resonant point-contact tunneling of a single lead,
we map the model onto a non-chiral fermion model defined on the half line. The
resonant point-contact tunneling interaction is transcribed into a non-local
effective boundary interaction in the folded setup, where the boundary state
formulation is applicable. We construct the boundary states for the models with
two and three leads explicitly and evaluate the correlation functions of
currents operators exactly. The electron transport between the leads is
dominated by the resonant point-contact tunneling in the low frequency regime.
We observe some $SU(2)$ and $SU(3)$ group theoretical structures, which may be
useful to analyze more complex models.
