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
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.
منابع مشابه
ar X iv : h ep - t h / 99 11 17 0 v 1 2 2 N ov 1 99 9 AEI - 1999 - 38 hep - th / 9911170 Yang - Mills Integrals
Abstract. SU(N) Yang-Mills integrals form a new class of matrix models which, in their maximally supersymmetric version, are relevant to recent non-perturbative definitions of 10-dimensional IIB superstring theory and 11-dimensional M-theory. We demonstrate how Monte Carlo methods may be used to establish important properties of these models. In particular we consider the partition functions as...
متن کاملar X iv : h ep - t h / 99 11 17 0 v 2 2 3 N ov 1 99 9 AEI - 1999 - 38 hep - th / 9911170 Yang - Mills Integrals
Abstract. SU(N) Yang-Mills integrals form a new class of matrix models which, in their maximally supersymmetric version, are relevant to recent non-perturbative definitions of 10-dimensional IIB superstring theory and 11-dimensional M-theory. We demonstrate how Monte Carlo methods may be used to establish important properties of these models. In particular we consider the partition functions as...
متن کاملar X iv : h ep - t h / 98 03 15 4 v 1 1 9 M ar 1 99 8 On the Low - energy Effective Action of N = 2 Supersymmetric Yang - Mills Theory
We investigate the perturbative part of Seiberg’s low-energy effective action of N = 2 supersymmetric Yang-Mills theory in Wess-Zumino gauge in the conventional effective field theory technique. Using the method of constant field approximation and restricting the effective action with at most two derivatives and not more than four-fermion couplings, we show some features of the low-energy effec...
متن کاملar X iv : h ep - t h / 97 11 15 0 v 1 1 9 N ov 1 99 7 hep - th / 9711 xxx November 1997 On RG potentials in Yang - Mills Theories
We construct an RG potential for N = 2 supersymmetric SU(2) Yang-Mills theory, and extract a positive definite metric by comparing its gradient with the recently discovered beta-function for this system, thus proving that the RG flow is gradient in this four-dimensional field theory. We also discuss how this flow might change after supersymmetry breaking, provided the quantum symmetry group doe...
متن کاملar X iv : h ep - t h / 97 12 06 2 v 1 5 D ec 1 99 7 1 Integrating over the Coulomb branch in N = 2 gauge theory
We review the relation of certain integrals over the Coulomb phase of d = 4, N = 2 SO(3) supersymmetric Yang-Mills theory with Donaldson-Witten theory. We describe a new way to write an important contact term in the theory and show how the integrals generalize to higher rank gauge groups.
متن کامل