Branes and mirror symmetry in N = 2 supersymmetric gauge theories in three dimensions

Jan De Boer*, Kentaro Hori, Yaron Oz, Zheng Yin

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

Abstract

We use brane configurations and SL(2,ℤ) symmetry of the type IIB string to construct mirror N = 2 supersymmetric gauge theories in three dimensions. The mirror map exchanges Higgs and Coulomb branches, Fayet-Iliopoulos and mass parameters and U(1)R symmetries. Some quantities that are determined at the quantum level in one theory are determined at the classical level of the mirror. One such example is the complex structure of the Coulomb branch of one theory, which is determined quantum mechanically. It is mapped to the complex structure of the Higgs branch of the mirror theory, which is determined classically. We study the generation of N = 2 superpotentials by open D-string instantons in the brane configurations.

Original languageEnglish
Pages (from-to)107-124
Number of pages18
JournalNuclear Physics B
Volume502
Issue number1-2
DOIs
StatePublished - 29 Sep 1997
Externally publishedYes

Keywords

  • Mirror symmetry
  • Non-perturbative method
  • P-brane
  • String theory
  • Superpotential
  • Supersymmetric gauge theory

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