  We construct N=1 non-critical strings in four dimensions dual to strongly
coupled N=1 quiver gauge theories in the Coulomb phase, generalizing the string
duals of Argyres-Douglas points in N=2 gauge theories. They are the first
examples of superstrings vacua with an exact worldsheet description dual to
chiral N=1 theories. We identify the dual of the non-critical superstring using
a brane setup describing the field theory in the classical limit. We analyze
the spectrum of chiral operators in the strongly coupled regime and show how
worldsheet instanton effects give non-perturbative information about the gauge
theory. We also consider aspects of D-branes relevant for the holographic
duality.
