Maximally Symmetric Minimal Unification Model SO(32) with Three Families in Ten-Dimensional Spacetime
Maximally Symmetric Minimal Unification Model SO(32) with Three Families in Ten-Dimensional Spacetime
复制标题
十维时空三族极大对称最小统一模型SO(32)
DOI：
10.1142/s0217732307022591
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发表时间：
2006
影响因子：
1.4
通讯作者：
Yue
中科院分区：
文献类型：
--
作者：
Yue
基于最大对称最小统一假设和量子电荷-维数对应原理，证明了夸克和轻子族都属于与量子自旋-同位旋-色荷有关的14维Majorana-Weyl旋量表象.夸克和轻子的族归属于与量子族电荷有关的额外六维旋量结构。特别地，它表明，10个维度有关的量子自旋族电荷形成一个运动的10维量子时空与广义洛伦兹对称SO（1，9），和10个维度有关的量子同位旋色电荷成为一个静止的10维量子本征空间。它对应的32分量费米子在旋量表象中具有最大规范对称性SO（32）。因此，通过选择合适的Majorana-Weyl旋量结构，直接嵌入夸克和轻子，自然得到了一个包含三个族的10维量子时空的最大对称最小统一模型SO（32）.由此得到的对称性和维数都与弦论中的I型弦和杂化弦SO（32）的对称性和维数一致。
Based on a maximally symmetric minimal unification hypothesis and a quantum charge-dimension correspondence principle, it is demonstrated that each family of quarks and leptons belongs to the Majorana–Weyl spinor representation of 14 dimensions that relate to quantum spin-isospin-color charges. Families of quarks and leptons attribute to a spinor structure of extra six dimensions that relate to quantum family charges. Of particular, it is shown that ten dimensions relating to quantum spin-family charges form a motional ten-dimensional quantum spacetime with a generalized Lorentz symmetry SO(1, 9), and ten dimensions relating to quantum isospin-color charges become a motionless ten-dimensional quantum intrinsic space. Its corresponding 32-component fermions in the spinor representation possess a maximal gauge symmetry SO(32). As a consequence, a maximally symmetric minimal unification model SO(32) containing three families in ten-dimensional quantum spacetime is naturally obtained by choosing a suitable Majorana–Weyl spinor structure into which quarks and leptons are directly embedded. Both resulting symmetry and dimensions coincide with those of type I string and heterotic string SO(32) in string theory.