Gauge Dynamics And Compactification To Three Dimensions

1996/07/18 by Nathan Seiberg, Edward Witten, Seiberg, Nathan +1 · 4 citations
Mathematics · Physics and Astronomy · #Advanced Operator Algebra Research #Black Holes and Theoretical Physics #FOS: Physical sciences #High Energy Physics - Theory (hep-th) #Noncommutative and Quantum Gravity Theories #hep-th

paper · pdf · doi:10.48550/arxiv.hep-th/9607163

37 pages, harvmac

arxiv created 1996/07/18 · openalex publication_date 1996/07/18 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We study four dimensional N=2 supersymmetric gauge theories on R³ × S¹ with a circle of radius R. They interpolate between four dimensional gauge theories (R=∞) and N=4 supersymmetric gauge theories in three dimensions (R=0). The vacuum structure can be determined quite precisely as a function of R, agreeing with three and four-dimensional results in the two limits.

Citations

• Global aspects of current algebra

Cited by

• Instantons in the Double-Tensor Multiplet
• Toda Fields of SO(3) Hyper-Kahler Metrics and Free Field Realizations
• M theory and singularities of exceptional holonomy manifolds
• Instantons and magnetic monopoles on R3×S1 with arbitrary simple gauge groups
• Supersymmetry enhancement by monopole operators

Related

• On the Global Structure of Deformed Yang-Mills Theory and QCD(adj) on \mathbb R³ × \mathbb S¹
• Dimensional reduction of four-dimensional topologically massive gauge theory
• A review on SUSY gauge theories on S³
• Twisted circle compactification of N=4 SYM and its Holographic Dual
• Dimensional Reduction of Supersymmetric Gauge Theories