Gauge-Higgs unification in higher dimensions
Gauge-Higgs unification in higher dimensions
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高维中的规范-希格斯统一
DOI：
10.1016/s0550-3213(02)00539-4
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发表时间：
2001
期刊：
影响因子：
--
通讯作者：
David R. Smith
中科院分区：
文献类型：
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作者：
L. Hall;Y. Nomura;David R. Smith
在高维超对称场论中，电弱希格斯二重态被认为是矢量多重态的分量。我们构造了一个最小的6维模型，其中电弱SU（2）<$U（1）规范群扩展到SU（3），统一的SU（5）规范对称性扩展到SU（6）。在这些现实的理论中，扩展的规范群被轨道边界条件打破，留下希格斯偶零模，这些模在轨道不动点上与夸克和轻子有汤川耦合。在一个SU（6）模型中，弱混合角受到幂律修正，而在另一个模型中，不动点结构禁止这种修正。一个5D模型也被构造，其中希格斯偶线包含规范场的第五分量。在这种情况下，Yukawa耦合被引入作为非局部运营商涉及威尔逊线的规范场。
The electroweak Higgs doublets are identified as components of a vector multiplet in a higher-dimensional supersymmetric field theory. We construct a minimal model in 6D where the electroweak SU(2)⊗U(1) gauge group is extended to SU(3), and unified 6D models with the unified SU(5) gauge symmetry extended to SU(6). In these realistic theories the extended gauge group is broken by orbifold boundary conditions, leaving Higgs doublet zero modes which have Yukawa couplings to quarks and leptons on the orbifold fixed points. In one SU(6) model the weak mixing angle receives power law corrections, while in another the fixed point structure forbids such corrections. A 5D model is also constructed in which the Higgs doublet contains the fifth component of the gauge field. In this case Yukawa couplings are introduced as nonlocal operators involving the Wilson line of this gauge field.