Whitham hierarchies, instanton corrections and soft supersymmetry breaking in N = 2 SU(N) super Yang-Mills theory

被引：55

作者：

Edelstein, JD ^{[1
]}

Mariño, M

Mas, J

机构：

[1] Univ Santiago de Compostela, Dept Fis Particulas, E-15706 Santiago De Compostela, Spain

[2] Yale Univ, Dept Phys, New Haven, CT 06520 USA

来源：

NUCLEAR PHYSICS B | 1999年 / 541卷 / 03期

关键词：

supersymmetric gauge theories; Whitham hierarchies; instanton corrections; soft supersymmetry breaking; Seiberg-Witten solution;

D O I：

10.1016/S0550-3213(98)00798-6

中图分类号：

O412 [相对论、场论]; O572.2 [粒子物理学];

学科分类号：

摘要：

We study N = 2 super Yang-Mills theory with gauge group SU(N) from the point of view of the Whitham hierarchy. We develop a new recursive method to compute the whole instanton expansion of the prepotential using the theta function associated with the root lattice of the group. Explicit results for the one- and two-instanton corrections in SU(N) are presented. interpreting the slow times of the hierarchy as additional couplings, we show how they can be promoted to spurion superfields that softly break N = 2 supersymmetry down to N = 0. This provides a family of non-supersymmetric deformations of the theory, associated with higher Casimir operators of the gauge group. The SU(3) theory is analyzed in some detail. (C) 1999 Elsevier Science B.V.

引用

页码：671 / 697

页数：27

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