通过将二次量子化费米子与玻色子场延拓至弦或奇数维空间来理解超对称关系的尝试
A trial to understand the supersymmetry relations through extension of the second quantized fermion and boson fields, either to strings or to odd dimensional spaces
AI总结：
本文尝试通过把二次量子化费米子与玻色子场的内部空间基矢从 d=2(2n+1) 维延拓到弦或奇数维空间，解释费米子场数与玻色子场数相等所体现的一种不同于通常超对称的新型超对称关系。
摘要：
本文研究费米子和玻色子二次量子化场内部空间的延拓，这些内部空间由算符 $γ^{a}$ 的奇数（费米子）与偶数（玻色子）乘积的叠加来描述，并将其延拓至弦和奇数维空间。对于内部空间的任意对称性 $SO(d-1,1)$，费米子场的数目（它们以族的形式出现，并且其厄米共轭伙伴位于一个单独的群中）等于玻色子场的数目（它们出现在两个正交群中），这表现出一种超对称性，但与通常的超对称性不同。本文寻找的超对称性来源于将 $d=2(2n+1)$（特别是 $d=(13+1)$）中描述的二次量子化费米子和玻色子场的“基矢”延拓至弦或奇数维空间（$d=2(2n+1)+1$）。
英文摘要：
The article studies the extension of the internal spaces of fermion and boson second quantized fields, described by the superposition of odd (for fermions) and even (for bosons) products of the operators $γ^ {a}$, to strings and odd dimensional spaces.\\ For any symmetry $SO(d-1,1)$ of the internal spaces, it is the number of fermion fields (they appear in families and have their Hermitian conjugated partners in a separate group) equal to the number of boson fields (they appear in two orthogonal groups), manifesting a kind of supersymmetry, which differs from the usual supersymmetry.\\ The article searches for the supersymmetry arising from extending the ``basis vectors'' of second quantized fermion and boson fields described in $d=2(2n+1)$ (in particular $d=(13+1)$) either to strings or to odd-dimensional spaces ($d=2(2n+1)+1$).
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。
