Abstract
We construct a $1+1$ dimensional superstring-bit model for $D\phantom{\rule{0ex}{0ex}}=\phantom{\rule{0ex}{0ex}}3$ type IIB superstring. This low dimension model escapes the problems encountered in higher dimension models: (1) It possesses full Galilean supersymmetry. (2) For noninteracting polymers of bits, the exactly soluble linear superpotential describing bit interactions is in a large universality class of superpotentials which includes ones bounded at spatial infinity. (3) The latter are used to construct a superstring-bit model with the clustering properties needed to define an $S$ matrix for closed polymers of superstring bits.
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