超对称与高维复空间中的一些新统一
Some New Unifications in Supersymmetry and Higher Dimensional Complex Space
摘要：
导出了超对称变换的一些新表示，并引入了超多重态。基于这些表示，各种公式（方程，交换关系，传播，雅可比恒等式等）。玻色子和费米子的统一一方面，提出了粒子的数学特性：玻色子对应实数，费米子对应虚数。这样的偶数（或奇数）费米子形成玻色子（或费米子），正好符合虚数与实数的关系。虚数只包含在费米子的方程、形式和矩阵中。它与相对论有关。另一方面，将超对称性的统一形式与统一玻色-爱因斯坦和费米-狄拉克统计的统计以及可能违反的泡利不相容原理联系起来，得到了统一的配分函数。因此，可能的发展之一是更高维的复空间。
英文摘要：
Some new representations of the supersymmetric transformations are derived, and the supermultiplets are introduced. Based on these representations, various formulations (equations, commutation relations, propagators, Jacobi identities, etc.) of bosons and fermions may be unified. On the one hand, the mathematical characteristic of particles is proposed: bosons correspond to real number, and fermions correspond to imaginary number, respectively. Such fermions of even (or odd) number form bosons (or fermions), which is just consistent with a relation between imaginary and real number. The imaginary number is only included in the equations, forms, and matrixes of fermions. It is connected with relativity. On the other hand, the unified forms of supersymmetry are also connected with the statistics unifying Bose-Einstein and Fermi-Dirac statistics, and with the possible violation of Pauli exclusion principle; and a unified partition function is obtained. Therefore, one of the possible developments is the higher dimensional complex space.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
