We consider two-dimensional supergravity theories with four supercharges co
nstructed from compactification of Type II string theory on a generic Calab
i-Yau four-fold. In type IIA and type IIB cases, respectively, new superspa
ce formulations of N = (2, 2) and N = (0, 4) dilaton supergravities are fou
nd and their coupling to matter multiplets is discussed. (C) 2000 Elsevier
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