1998/06/30 by Joseph A. Minahan
Mathematics · Physics and Astronomy · #Advanced Algebra and Geometry #Black Holes and Theoretical Physics #Duality (order theory) #Gauge group #Gauge theory #Group (periodic table) #Homogeneous space #Mathematical physics #Mathematics #Particle physics #Physics #Pure mathematics #Quantum Chromodynamics and Particle Interactions #Quantum chromodynamics #Quantum mechanics #Riemann surface #S-duality #Seiberg duality #Supersymmetric gauge theory #Symmetry (geometry) #hep-th
paper · pdf · doi:10.1016/s0550-3213(98)00635-x
published as Nucl.Phys. B537 (1999) 243-259 · 20 pages, 3 figures, harvmac (b); v2, typos corrected, statement about curves of marginal stability is corrected
arxiv created 1998/07/07 · openalex publication_date 1999/01/01 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
We construct the duality groups for N=2 Supersymmetric QCD with gauge group SU(2n+1) and Nf=4n+2 hypermultiplets in the fundamental representation. The groups are generated by two elements S and T that satisfy a relation (STS-1T)2n+1=1. Thus, the groups are not subgroups of SL(2,Z). We also construct automorphic functions that map the fundamental region of the group generated by T and STS to the Riemann sphere. These automorphic functions faithfully represent the duality symmetry in the Seiberg-Witten curve.