In this review paper, we outline and exemplify the general method of constructing the superfield low-energy quantum effective action of supersymmetric Yang-Mills (SYM) theories with extended supersymmetry in the Coulomb phase, grounded upon the requirement of invariance under the non-manifest (hidden) part of the underlying supersymmetry. In this way we restore the N = 4 supersymmetric effective actions in 4D, N = 4 SYM, N = 2 supersymmetric effective actions in 5D, N = 2 SYM and N = (1, 1) supersymmetric effective actions in 6D, N = (1, 1) SYM theories. The manifest off-shell fractions of the full supersymmetry are, respectively, 4D, N = 2, 5D, N = 1 and 6D, N = (1, 0) supersymmetries. In all cases the effective actions depend on the corresponding covariant superfield SYM strengths and the hypermultiplet superfields. The whole construction essentially exploits a power of the harmonic superspace formalism.

中文翻译：

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隐藏的超对称性是构建低能量超场有效作用的关键

在这篇综述文章中，我们概述并举例说明了在非明显条件下基于不变性的要求，构造在库仑相中具有扩展超对称性的超对称Yang-Mills（SYM）理论的超场低能量子有效作用的一般方法。基本超对称的（隐藏）部分。以这种方式，我们恢复Ñ在4D = 4超对称有效的行动，Ñ = 4 SYM，Ñ在5D = 2个超对称有效的行动，Ñ = 2 SYM和Ñ =（1，1）超对称有效6D的动作，Ñ =（ 1，1）SYM理论。完全超对称的明显壳外分数分别为4D，N = 2，5D，N = 1和6 D，N =（1，0）超对称。在所有情况下，有效动作都取决于相应的协变超场SYM强度和超多重超场。整个结构实质上利用了谐波超空间形式主义的力量。