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We present a new method to introduce scalar potentials to gauge-invariantchiral models coupled to supergravity. The theories under consideration containconsistent higher-derivative terms which do not give rise to instabilities andghost states. The chiral auxiliaries are not propagating and can be integratedout. Their elimination gives rise to emerging potentials even when there is nota superpotential to start with. We present the case of a single chiralmultiplet with and without a superpotential and, in the gauged theory, up totwo chiral multiplets coupled to supergravity with no superpotential. A generalfeature of the emergent potential is that it is negative defined leading toanti-de Sitter vacua. In the gauge models, competing D-terms may lift thepotential leading to stable and metastable de Sitter and Minkowski vacua aswell with spontaneously broken supersymmetry.

Emerging Potentials in Higher-Derivative Gauged Chiral Models Coupled to N=1 Supergravity