Spontaneous compactification and CPN: SU(3) × SU(2) × U(1), sin2θW, g3/g2 and SU(3)-triplet chiral fermions in four dimensions
Spontaneous compactification and CPN: SU(3) × SU(2) × U(1), sin2θW, g3/g2 and SU(3)-triplet chiral fermions in four dimensions
复制标题
自发致密化和 CPN：四维 SU(3) × SU(2) × U(1)、sin2θW、g3/g2 和 SU(3)-三重态手性费米子
DOI：
10.1016/0370-2693(84)91155-9
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发表时间：
1984
影响因子：
4.4
通讯作者：
S. Watamura
中科院分区：
文献类型：
--
作者：
S. Watamura
我们研究了D=4+2N的紧化，Einstein-Maxwell-Dirac理论.证明了流形CPsub（N）× M/sub 4/是运动方程的解.本文研究了四维有效理论中费米子、规范玻色子及其耦合的结构。CP_sub（N）的标度由广义Dirac条件量子化。将所得结果应用于内部空间为CP/sub 1/XCP/sub 2/的解时，弱混合角和SU（3）（g/sub 3/）与SU（2）（g/sub 2/）的耦合比由两个整数和一个超荷定义.在四维有效理论中可以出现SU（3）三重态手征费米子。
We examine the compactification of D=4+2N, Einstein-Maxwell-Dirac theory. It is shown that the manifold CPsub(N) X M/sub 4/ is a solution of the equations of motion. The structure of the fermions, gauge bosons and their couplings in the four-dimensional effective theory is investigated. The scale of CPsub(N) is quantized by a generalized Dirac condition. When the results are applied to the solution with internal space CP/sub 1/ X CP/sub 2/, the weak mixing angle and the ratio of the couplings of SU(3) (g/sub 3/) and SU(2) (g/sub 2/) are defined by two integers and a hypercharge. An SU(3)-triplet chiral fermion can appear in four-dimensional effective theory.