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Instanton superpotentials, Calabi-Yau geometry, and fibrations

Instanton superpotentials, Calabi-Yau geometry, and fibrations

In this paper we explore contributions to nonperturbative superpotentials arising from instantons wrapping effective divisors in smooth Calabi-Yau fourfolds. We concentrate on the case of manifolds constructed as complete intersections in products of projective spaces or generalizations thereof. We systematically investigate the structure of the cone of effective (algebraic) divisors …