In this paper, we take up an old thread of development concerning the characterization of supersymmetric theories without any use of anticommuting variables that goes back to one of the authors’ very early work (Nicolai H 1980 Nucl. Phys. B 176 419). Our special focus here will be on the formulation of supersymmetric Yang–Mills theories, extending previous results beyond D = 4 dimensions. This perspective is likely to provide new insights into these theories, and in particular the maximally extended N = 4 theory. As a new result we re-derive the admissible dimensions for interacting (pure) super-Yang–Mills theories to exist. This article is dedicated to the memory of Peter Freund, amongst many other things an early contributor to supersymmetry, and an author of one of the very first papers on superconformal gauge theories (Crispim Romao J et al 1977 Nucl. Phys. B 122 170). The final section contains some personal reminiscences of ...

中文翻译：

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杨-米尔斯超对称理论：不是通常的观点

在本文中，我们采用了关于超对称理论表征而不使用任何反换向变量的古老发展思路，这可以追溯到作者的早期工作之一（Nicolai H 1980 Nucl。Phys。B 176 419）。在这里，我们的重点将放在超对称Yang-Mills理论的表述上，将先前的结果扩展到D = 4维之外。这种观点可能会提供对这些理论的新见解，尤其是最大程度扩展的N = 4理论。作为一项新的结果，我们重新推导了存在的相互作用（纯）超级杨米尔理论的可接受的尺度。本文致力于纪念彼得·弗洛因德（Peter Freund），其中包括超对称的早期贡献者，他是超共形规范理论的最早论文之一（Crispim Romao J等人，1977 Nucl。Phys。B 122 170）。最后一部分包含对...的一些个人回忆。