Mirror symmetry for open strings

Shamit Kachru, Sheldon Katz, Albion Lawrence, John McGreevy

Research output: Contribution to journalArticlepeer-review


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

Original languageEnglish (US)
Article number126005
Pages (from-to)1-14
Number of pages14
JournalPhysical Review D - Particles, Fields, Gravitation and Cosmology
Issue number12
StatePublished - Dec 15 2000
Externally publishedYes

ASJC Scopus subject areas

  • Physics and Astronomy (miscellaneous)


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