Abstract
We construct general matter couplings of N = 1 four-dimensional supergravity for theories with curvature-square terms, suggested by D = 10 anomaly-free supergravity and superstrings. The scalar potential induced by the supersymmetric completion of the Euler characteristic is derived and its positivity properties discussed. Some implications for the nonpolynomial structure of ten-dimensional supergravity are drawn.
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