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Phys. Rev. D 62, 126005 (2000) [14 pages]

Mirror symmetry for open strings

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Shamit Kachru1,2, Sheldon Katz3, Albion Lawrence1,2, and John McGreevy1
1Department of Physics, Stanford University, Stanford, California 94305
2SLAC Theory Group, MS 81, P.O. Box 4349, Stanford, California 94309
3Department of Mathematics, Oklahoma State University, Stillwater, Oklahoma 74078

Received 23 June 2000; published 15 November 2000

We discuss the generation of superpotentials in d=4, 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 then 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.


©2000 The American Physical Society

URL: http://link.aps.org/doi/10.1103/PhysRevD.62.126005
DOI: 10.1103/PhysRevD.62.126005
PACS: 11.25.Mj

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