Observations on the moduli space of two dimensional string theory

We explore the moduli space of the two dimensional fermionic string with linear dilation. In addition to the known 0A and 0B theories, there are two theories with chiral GSO projections, which we call IIA and IIB. They are similar to the IIA and IIB theories of ten dimensions, but are constructed with a different GSO projection. Compactifying these theories on various twisted circles leads to eight lines of theories. Three of them, 0A on a circle, super-affine 0A and super-affine 0B are known. The other five lines of theories are new. At special points on two of them we find the noncritical superstring.