Physics – High Energy Physics – High Energy Physics - Theory
Scientific paper
2000-06-06
Phys.Rev.D62:126005,2000
Physics
High Energy Physics
High Energy Physics - Theory
32 pages, 8 figures, harvmac big, v2: example I modified
Scientific paper
10.1103/PhysRevD.62.126005
We discuss the generation of superpotentials in four-dimensional, N = 1 supersymmetric field theories arising from type IIA D6-branes wrapped on supersymmetric three-cycles of a Calabi-Yau threefold. In general, nontrivial superpotentials arise from sums over disc instantons. We find several examples of special Lagrangian three-cycles with nontrivial topology which are mirror to obstructed rational curves, conclusively demonstrating the existence of such instanton effects. In addition, we present explicit examples of disc instantons ending on the relevant three-cycles. Finally, we give a preliminary construction of a mirror map for the open string moduli, in a large-radius limit of the type IIA compactification.
Kachru Shamit
Katz Sheldon
Lawrence Albion
McGreevy John
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