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- W1540897424 abstract "The recently rigorously proved nonperturbative relation $u=ensuremath{pi}i(mathcal{F}ensuremath{-}a{ensuremath{partial}}_{a}mathcal{F}/2)$, underlying $N=2$ supersymmetry Yang-Mills theory with the gauge group SU(2), implies both the reflection symmetries $overline{u(ensuremath{tau})}=u(ensuremath{-}overline{ensuremath{tau}})$ and $u(ensuremath{tau}+1)=ensuremath{-}u(ensuremath{tau})$ which hold exactly. The relation also implies that $ensuremath{tau}$ is the inverse of the uniformizing coordinate $u$ of the moduli space of quantum vacua ${mathcal{M}}_{mathrm{SU}(2)},$ that is, $ensuremath{tau}:{mathcal{M}}_{mathrm{SU}(2)}ensuremath{rightarrow}H$, where $H$ is the upper half plane. In this context, the above quantum symmetries are the key points to determine ${mathcal{M}}_{mathrm{SU}(2)}.$ 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." @default.
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- W1540897424 date "1997-05-15" @default.
- W1540897424 modified "2023-10-16" @default.
- W1540897424 title "SolvingN=2supersymmetric Yang-Mills theory by reflection symmetry of quantum vacua" @default.
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- W1540897424 doi "https://doi.org/10.1103/physrevd.55.6466" @default.
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