1997/12/23 by Ori Ganor, Ori J. Ganor, Savdeep Sethi · 2 citations
Mathematics · Physics and Astronomy · #Black Holes and Theoretical Physics #Coulomb #Equivalence (formal languages) #Gauge theory #Instanton #Mathematical physics #Mathematics #Matrix (chemical analysis) #Matrix model #Moduli space #Particle physics theoretical and experimental studies #Physics #Pure mathematics #Quantum Chromodynamics and Particle Interactions #Quantum mechanics #String (physics) #String theory #Theoretical physics #Yang–Mills existence and mass gap #hep-th
paper · pdf · doi:10.1088/1126-6708/1998/01/007
published as JHEP 9801:007,1998 · 44 pages, harvmac; references added
arxiv created 1997/12/23 · openalex publication_date 1998/01/10 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
We describe various approaches that give matrix descriptions of compactified NS five-branes. As a result, we obtain matrix models for Yang-Mills theories with sixteen supersymmetries in dimensions 2,3,4 and 5. The equivalence of the various approaches relates the Coulomb branch of certain gauge theories to the moduli space of instantons on T4. We also obtain an equivalence between certain six-dimensional string theories. Further, we discuss how various perturbative and non-perturbative features of these Yang-Mills theories appear in their matrix formulations. The matrix model for four-dimensional Yang-Mills is manifestly S-dual. In this case, we describe how electric fluxes, magnetic fluxes and the interaction between vector particles are realized in the matrix model.