我们是否理解了包含引力在内的二次量子化费米子场与玻色子场的内空间？与弦理论的关系
Do we understand the internal spaces of second quantized fermion and boson fields, with gravity included? Relation with strings theories
AI总结：
本文提出统一描述无质量费米子与玻色子二次量子化场的内空间，发现费米子与玻色子数量相等体现新型超对称，并探讨其与弦理论的关系及在粒子物理和宇宙学中的成功。
摘要：
本文提出了一种统一描述费米子（夸克、轻子、反夸克和反轻子）与玻色子（光子、弱玻色子、胶子、引力子和标量粒子）二次量子化场的内空间的方法，前提是所有这些场均为无质量的。内空间由“基矢量”描述，这些基矢量是算符$γ^{a}$的奇次（对于费米子）和偶次（对于玻色子）乘积的叠加。对于内空间的任意对称性$SO(d-1,1)$，费米子场（它们以家族形式出现，并在一个单独的组中拥有其厄米共轭伙伴）的数量等于玻色子场（它们出现在两个正交组中）的数量，这体现了一种超对称性，但与弦理论中的超对称性不同。在假设费米子和玻色子仅在$d=(3+1)$维普通时空中是活跃的（即它们具有非零动量）的前提下，玻色子若携带时空指标$μ=(0,1,2,3)$则表现为矢量，若携带指标$σ\ge 5$则表现为标量。作者讨论了该理论的最新成就，并尝试理解扩展到弦理论或奇数维空间是否会导致一种新的超对称性。这个名为“自旋-电荷-家族”理论的模型，在一系列论文中展示了该理论在基本粒子物理学和宇宙学中的现象学成功。
英文摘要：
The article proposes the description of internal spaces of fermion (quarks and leptons and antiquarks and antileptons) and boson (photons, weak bosons, gluons, gravitons and scalars) second quantized fields in a unique way if they all are massless. The internal spaces are described by ``basis vectors'', which are the superposition of odd (for fermions) and even (for bosons) products of the operators $γ^ {a}$. For an arbitrary 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 differ of the string supersymmetry. On the assumption that fermions and bosons are active (they have momenta different from zero) only in $d=(3+1)$ ordinary space-time, bosons present vectors if they carry the space index $μ=(0,1,2,3)$, and present scalars if they carry the index $σ\ge 5$. The author discusses this theory's latest achievements, with a trial to understand whether the extension to strings or to odd-dimensional spaces can lead to a new kind of supersymmetry. This model, named {\it spin-charge-family} theory, manifests in a long series of papers on the phenomenological success of the theory in elementary particle physics and cosmology.
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。
