  We study a field theoretical model for p-q-superstrings in a fixed
Anti-de-Sitter background. We find that the presence of the negative
cosmological constant tends to decrease the core radius of the strings.
Moreover, the binding energy decreases with the increase of the absolute value
of the cosmological constant. Studying the effect of the p-q-strings on
Anti-de-Sitter space, we observe that the presence of the negative cosmological
constant tends to decrease the deficit angle as compared to asymptotically flat
space-time.
