We construct a two-dimensional N = 8 supersymmetric quantum mechanics which inherits the most interesting properties of N = 2, d = 4 supersymmetric Yang-Mills theory. Analyzing the superfield constraints, we show that only complex scalar fields from the N = 2, d = 4 vector multiplet become physical bosons in d = 1. The rest of the bosonic components are reduced to auxiliary fields, thus giving rise to the (2, 8, 6) supermultiplet in d = 1. We construct the most general superfield action for this supermultiplet and demonstrate that it possesses duality symmetry extended to the fermionic sector of theory. We also explicitly present the Dirac brackets for the canonical variables and construct the supercharges and Hamiltonian which form a N = 8 super-Poincare algebra with central charges. Finally, we discuss the duality transformations which relate the (2, 8, 6) supermultiplet with the (4, 8, 4) one. (c) 2005 Published by Elsevier B.V.
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机译：我们构建了一个二维 N = 8 超对称量子力学，它继承了 N = 2， d = 4 超对称 Yang-Mills 理论最有趣的性质。通过分析超场约束，我们发现只有来自N = 2，d = 4向量倍数的复标量场才能成为d = 1中的物理玻色子。其余的玻色子分量被简化为辅助场，从而产生 d = 1 中的 （2， 8， 6） 超倍数。我们为这个超倍数构建了最一般的超场作用，并证明了它具有扩展到费米子理论扇区的对偶对称性。我们还明确地提出了规范变量的狄拉克括号，并构造了超电荷和哈密顿量，它们形成了一个具有中心电荷的 N = 8 超庞加莱代数。最后，我们讨论了将 （2， 8， 6） 超倍数与 （4， 8， 4） 超倍数联系起来的对偶变换。（c） 2005年由Elsevier B.V.出版
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