Open string instantons and superpotentials

Abstract

We study the F-terms in N=1 supersymmetric, d=4 gauge theories arising from D(p+3)-branes wrapping supersymmetric p-cycles in a Calabi-Yau threefold. If p is even the spectrum and superpotential for a single brane are determined by purely classical (${\alpha }^{\prime }\to 0$) considerations. If p=3, superpotentials for massless modes are forbidden to all orders in ${\alpha }^{\prime }$ and may only be generated by open string instantons. For this latter case we find that such instanton effects are generically present. Mirror symmetry relates even and odd p and thus perturbative and nonperturbative superpotentials; we provide a preliminary discussion of a class of examples of such mirror pairs.

22 pages, harvmac big; v2, corrected some typos

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