  A string field theory of (p,q) minimal superstrings is constructed with the
free-fermion realization of 2-component KP (2cKP) hierarchy, starting from
2-cut ansatz of two-matrix models. Differential operators of 2cKP hierarchy are
identified with operators in super Liouville theory, and we obtain algebraic
curves for the disk amplitudes of \eta=-1 FZZT-branes and the partition
functions of neutral/charged \eta=-1 ZZ branes, which correctly reproduce those
of type 0B (p,q) minimal superstrings in conformal backgrounds. In the course
of study, some subtle points are clarified, including a difference of (p,q)
even/odd models and quantization of flux, and we show that the Virasoro
constraints naturally incorporate quantized fluxes without ambiguity. We also
argue within this string field framework that type 0A minimal superstrings can
be obtained by orbifolding the type 0B strings with a Z_2 symmetry existing
when special backgrounds are taken.
