We construct models in 1+1 dimensions with chiral (0, N) supersymmetry
by taking orientifolds of type IIB on an eight-torus identified by di
fferent numbers of reflections. The resulting models have Dirichlet st
rings, 5-branes and 9-branes stretched along different directions. The
cases we study in detail have residual chiral supersymmetry (0, 8), (
0,4) and (0, 2). The gravitational anomaly in all cases is shown to ca
ncel. (C) 1998 Elsevier Science B.V.