1996/10/31 by G. Bonelli, Giulio Bonelli, Marco Matone +2 · 38 citations
Mathematics · Physics and Astronomy · #Algorithm #Black Holes and Theoretical Physics #Mathematics #Particle physics theoretical and experimental studies #Quantum Chromodynamics and Particle Interactions #alg-geom #hep-ph #hep-th #math.AG
paper · pdf · doi:10.1103/physrevd.55.6466
published in Physical review. D. Particles, fields, gravitation, and cosmology/Physical review. D. Particles and fields 55(10), 6466-6470 (American Physical Society) · 12 pg. LaTex, Discussion of the generalization to higher rank groups added. To be published in Phys. Rev. D
arxiv created 1997/02/25 · openalex publication_date 1997/05/15 · arxiv updated 2009/11/30 · openalex created_date 2016/06/24 · openalex updated_date 2026/08/05
The recently rigorously proved nonperturbative relation u=\ensuremathπi(F\ensuremath-a\ensuremath∂aF/2), underlying N=2 supersymmetry Yang-Mills theory with the gauge group SU(2), implies both the reflection symmetries u(\ensuremathτ)=u(\ensuremath-\ensuremathτ) and u(\ensuremathτ+1)=\ensuremath-u(\ensuremathτ) which hold exactly. The relation also implies that \ensuremathτ is the inverse of the uniformizing coordinate u of the moduli space of quantum vacua MSU(2), that is, \ensuremathτ:MSU(2)\ensuremath→H, where H is the upper half plane. In this context, the above quantum symmetries are the key points to determine MSU(2). It turns out that the functions a(u) and aD(u), which we derive from first principles, actually coincide with the solution proposed by Seiberg and Witten. We also consider some relevant generalizations.