N=2 supersymmetric Yang-Mills theories and Whitham integrable hierarchies
N=2 supersymmetric Yang-Mills theories and Whitham integrable hierarchies
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N=2 超对称 Yang-Mills 理论和 Whitham 可积层次结构
DOI：
10.1063/1.59658
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发表时间：
1999
期刊：
影响因子：
--
通讯作者：
J. Mas
中科院分区：
文献类型：
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作者：
J. Edelstein;J. Mas
我们从 Whitham 层次结构的角度回顾了规范群 SU(N) 的 N=2 超杨-米尔斯理论的研究工作，主要关注三个主要结果：（i）我们开发了一种新的递归方法来计算低能有效预势的整体瞬时展开； (ii) 我们将层次结构的慢时间解释为额外的耦合，并将它们提升为杂散超场，通过与规范组的更高卡西米尔算子相关的变形，将 N=2 超对称性软性打破到 N=0； (iii) 我们证明 Seiberg-Witten-Whitham 方程为最大奇点附近的强耦合展开形式提供了一组非平凡的约束。我们用它们来检查我们为模空间这些点处的非对角线耦合值提出的建议。
We review recent work on the study of N=2 super Yang-Mills theory with gauge group SU(N) from the point of view of the Whitham hierarchy, mainly focusing on three main results: (i) We develop a new recursive method to compute the whole instanton expansion of the low-energy effective prepotential; (ii) We interpret the slow times of the hierarchy as additional couplings and promote them to spurion superfields that softly break N=2 supersymmetry down to N=0 through deformations associated to higher Casimir operators of the gauge group; (iii) We show that the Seiberg-Witten-Whitham equations provide a set of non-trivial constraints on the form of the strong coupling expansion in the vicinity of the maximal singularities. We use them to check a proposal that we make for the value of the off-diagonal couplings at those points of the moduli space.