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We prove (in superspace) the equivalence between the higher-derivative N=1supergravity, defined by a holomorphic function F of the chiral scalarcurvature superfield, and the standard theory of a chiral scalar superfieldwith a chiral superpotential W, coupled to the (minimal) Poincare supergravityin four spacetime dimensions. The relation between the holomorphic functions Fand W is found. It can be used as the technical framework for the possiblescenario unifying the early Universe inflation and the present Universeacceleration. We speculate on the possible origin of our model as the effectivesupergravity generated by quantum superstrings, with a dilaton-axion field asthe leading field component of the chiral superfield.

Superstring-inspired supergravity as the universal source of inflation and quintessence