Direct Derivation of Scaling Relation of Prepotential in N = 2 Supersymmetric G 2 Yang - Mills Theory
نویسنده
چکیده
In contrast with the classical gauge group cases, any method to prove exactly the scaling relation which relates moduli and prepotential is not known in the case of exceptional gauge groups. This paper provides a direct method to establish this relation by using Picard-Fuchs equations. In particular, it is shown that the scaling relation found by Ito in N = 2 supersymmetric G 2 Yang-Mills theory actually holds exactly.
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ar X iv : h ep - t h / 99 11 03 4 v 1 5 N ov 1 99 9 Direct Derivation of Scaling Relation of Prepotential in N = 2 Supersymmetric G 2 Yang - Mills Theory
In contrast with the classical gauge group cases, any method to prove exactly the scaling relation which relates moduli and prepotential is not known in the case of exceptional gauge groups. This paper provides a direct method to establish this relation by using Picard-Fuchs equations. In particular, it is shown that the scaling relation found by Ito in N = 2 supersymmetric G 2 Yang-Mills theor...
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We study the low-energy effective theory of N = 2 supersymmetric Yang-Mills theory with the exceptional gauge group G 2. We obtain the Picard-Fuchs equations for the G 2 spectral curve and compute multi-instanton contribution to the prepotential. We find that the spectral curve is consistent with the microscopic su-persymmetric instanton calculus. It is also shown that G 2 hyperelliptic curve d...
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تاریخ انتشار 2000