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Supersymmetric Noether currents and Seiberg-Witten theory. (English) Zbl 1063.81088

Summary: The purpose of this paper is twofold. The first purpose is to review a systematic construction of Noether currents for supersymmetric theories, especially effective supersymmetric theories. The second purpose is to use these currents to derive the mass-formula for the quantized Seiberg-Witten model from the supersymmetric algebra. We check that the mass-formula of the low-energy theory agrees with that of the full theory (in the broken phase).
{Sadly, while this paper was under the process of publication, Lochlainn O’Raifeartaigh passed away}.

MSC:

81T60 Supersymmetric field theories in quantum mechanics
58E50 Applications of variational problems in infinite-dimensional spaces to the sciences
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