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29 March 2024
 
  » arxiv » hep-th/9610026

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Solving N=2 SYM by Reflection Symmetry of Quantum Vacua
G. Bonelli ; M. Matone ; M. Tonin ;
Date 6 Oct 1996
Journal Phys.Rev. D55 (1997) 6466-6470
Subject High Energy Physics - Theory; Algebraic Geometry | hep-th alg-geom hep-ph math.AG
AbstractThe recently rigorously proved nonperturbative relation between u and the prepotential, underlying N=2 SYM with gauge group SU(2), implies both the reflection symmetry $overline{u( au)}=u(-ar au)$ and $u( au+1)=-u( au)$ which hold exactly. The relation also implies that $ au$ is the inverse of the uniformizing coordinate u of the moduli space of quantum vacua. In this context, the above quantum symmetries are the key points to determine the structure of the moduli space. It turns out that the functions a(u) and a_D(u), which we derive from first principles, actually coincide with the solution proposed by Seiberg and Witten. We also consider some relevant generalizations.
Source arXiv, hep-th/9610026
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