Supersymmetric Yang-Mills Theories: not quite the usual perspective

Abstract

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 [1]. 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 present a novel derivation of 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 [2]. The final section contains some personal reminiscences of H.N.'s encounters with Peter Freund.

arXiv comment14 pages

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Cited by in corpus (14)

• Perturbative linearization of super-Yang-Mills theories in general gauges
• N=4 super Yang-Mills correlators without anti-commuting variables
• Universal form of the Nicolai map
• A perturbative expansion scheme for supermembrane and matrix theory
• Perturbative linearization of supersymmetric Yang-Mills theory
• Supersymmetric Yang-Mills theory in D=6 without anti-commuting variables
• Two Loop Ghost free Quantisation of Wilson Loops in $\mathcal{N}=4$ supersymmetric Yang-Mills
• Higher spins, quadratic forms and amplitudes
• An improved Nicolai map for super Yang-Mills theory
• Is the Nicolai map unique?
• The coupling flow of $\mathcal{N}=4$ super Yang-Mills theory
• Supersymmetric large-order perturbation with the Nicolai map
• Nicolai maps and uniqueness in the light-cone gauge
• A Passion for Theoretical Physics: a special issue in memory of Peter G. O. Freund