Dynamics of N = 2 supersymmetric gauge theories in three dimensions

Jan De Boer*, Kentaro Hori, Yaron Oz

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

155 Scopus citations

Abstract

We study the structure of the moduli spaces of vacua and superpotentials of N = 2 supersymmetric gauge theories in three dimensions. By analyzing the instanton corrections, we compute the exact superpotentials and determine the quantum Coulomb and Higgs branches of the theories in the weak coupling regions. We find candidates for non-trivial N = 2 superconformal field theories at the singularities of the moduli spaces. The analysis is carried out explicitly for gauge groups U(Nc) and SU(Nc) with Nf flavors. We show that the field theory results are in complete agreement with the intersecting branes picture. We also compute the exact superpotentials for arbitrary gauge groups and arbitrary matter content.

Original languageEnglish
Pages (from-to)163-191
Number of pages29
JournalNuclear Physics B
Volume500
Issue number1-3
DOIs
StatePublished - 1 Sep 1997
Externally publishedYes

Funding

FundersFunder number
National Science FoundationPHY-951497
U.S. Department of EnergyDE-AC03-76SF00098

    Keywords

    • Exact superpotentials
    • Three-dimensional supersymmetric gauge theory

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