Supersymmetric Grand Unified Theory based on Brain World Picture

基于大脑世界图景的超对称大统一理论

• 批准号: 13640279
• 负责人: KUGO Taichi
• 金额: $ 1.66万
• 依托单位: Kyoto University
• 依托单位国家: 日本
• 项目类别: Grant-in-Aid for Scientific Research (C)
• 财政年份: 2001
• 资助国家: 日本
• 起止时间: 2001 至 2003
• 项目状态: 已结题
• 来源: https://kaken.nii.ac.jp/grant/KAKENHI-PROJECT-13640279/
• 关键词: brave world scenario; suuerconformal tensor calculus; orbifold; triplet-doublet splitting; neutrino oscillation; E6 grand unified theory; mass matrix; anomalous U(1) charge; CKM混合行列; MNS混合行列; E_6大統一理論; ブレイン世界シナリオ; オービフオルド; 超重力理論; Higgs doubl

The research results of our project for three academic years in 2001 -2003 are as follows:1. Brane world scenario:In order to study the brave world scenario that our world is a three-brave in a higher dimensional space, we consider the simplest case of five dimensional space-time for which the extra one-dimension is compactified to an orbifold S^1/Z_2. We have given the superconformal tensor calculus for such orbifold case and, in particular, clarified the general rule for writing down the superconformal invariant coupling of the matters on the brave to the bulk supergravity and super Yang-Mills multiplets. We also found for the first time that there exist two types of 5D tensor multiplets, gauge and non-gauge ones, in another paper and gave the superconformal tensor calculus for them. We also gave a completely off-shell formulation for "Supersymmetry in Singular Spaces" by Bergshoeff Kallosh-Van Proeyen. With this we have shown that the supersymmetry automatically guarantees the speci … More al relation between the boundary brave tensions and the bulk cosmological term required in the Randall-Sundrum Scenario. In the Altendorfer-Bagger-Nemeschansky approach, on the other hand, we have shown that such a relation does not follow from the supersymmetry but remains to be a fine-tuning.2. Higgs field and quark/lepton mixing in supersymmetric E6 grand unified theory:We examined the pseudo-Nambu-Goldstone boson idea for the Higgs doublet in supersymmetric E6 GUT framework in order to solve the triplet-doublet splitting problem. We found that there necessarily appear extra light pseudo-Nambu-Goldstone bosons other than the desired Higgs doublets; those extra PsNG bosons must uniquely be 10 + 10* representation of SU(5) in order for them not to disturb the gauge coupling unification. Their existence is shown to be barely consistent with the present experimental bound for proton decay. Under the assumptions that 1) the quark/lepton mass matrices take Froggatt-Nielsen's factorized power form with the powers given by anomalous U(1) charges, and 2) the U(1) charges respect the SU(5) GUT structure, we showed that the quark mass data necessarily implies the large 2-3 mixing for neutrinos. If the mass-squared difference ratio data of solar and atmospheric neutrinos is used as an input, then, it implies that the 1-2 mixing must also be large (namely, bi-large mixing). We also add an argument that E6 GUT is favored. Less

本项目2001年-2003年三个学年的研究成果如下： 1．薄膜世界场景：为了研究我们的世界是高维空间中的三勇敢的勇敢世界场景，我们考虑五维时空的最简单情况，其中额外的一维被压缩为轨道折叠S^1/Z_2。我们给出了这种轨道情况的超共形张量微积分，特别是阐明了写出勇敢物质与体超引力和超杨-米尔斯多重态的超共形不变量耦合的一般规则。我们还在另一篇论文中首次发现存在两种类型的5维张量多重态：规范和非规范张量多重态，并给出了它们的超共形张量微积分。我们还为 Bergshoeff Kallosh-Van Proeyen 的“奇异空间中的超对称性”提供了完全脱离外壳的公式。由此，我们证明了超对称性自动保证了边界勇敢张力与兰德尔-桑德鲁姆情景中所需的体宇宙学项之间的特殊关系。另一方面，在Altendorfer-Bagger-Nemeschansky 方法中，我们已经证明这种关系并非由超对称性得出，而是需要进行微调。2．超对称E6大统一理论中的希格斯场和夸克/轻子混合：我们在超对称E6 GUT框架中研究了希格斯双峰的伪Nambu-Goldstone玻色子思想，以解决三重态-双峰分裂问题。我们发现，除了所需的希格斯双峰之外，必然会出现额外的轻伪南部-戈德斯通玻色子；这些额外的 PsNG 玻色子必须唯一地是 SU(5) 的 10 + 10* 表示，以便它们不会干扰规范耦合统一。它们的存在被证明与目前质子衰变的实验界限几乎一致。假设 1) 夸克/轻子质量矩阵采用 Froggatt-Nielsen 的因式分解幂形式，其幂由反常 U(1) 电荷给出，并且 2) U(1) 电荷遵循 SU(5) GUT 结构，我们表明夸克质量数据必然意味着中微子的大 2-3 混合。如果以太阳和大气中微子的质量平方差比数据作为输入，则意味着1-2混合也必须是大混合（即双大混合）。我们还添加了一个论点，即 E6 GUT 受到青睐。较少的

项目成果

Masako Bando: "Higgs Doublets as Pseudo Nambu-Goldstone Bosons in Supersymmetric E_6 Unification"Progress of Theoretical Physics. 109巻1号. 87-101 (2002)

Masako Bando：“超对称 E_6 统一中的希格斯双峰”理论物理学进展，第 109 卷，第 1. 87-101 (2002)。

M.Bando, T.Kugo: "Higgs Doublets as Pseudo-Nambu-Goldstone Bosons in Supersymmetric E_6 Unification"Prog.Theor.Phys.. 109. 87-101 (2003)

M.Bando、T.Kugo：“超对称 E_6 统一中希格斯双峰作为伪南部戈德斯通玻色子”Prog.Theor.Phys.. 109. 87-101 (2003)

T.Kugo: "Higgs Doublets as Pseudo Nambu-Goldstone Bosons in Supersymmetric E_6 Unification"Proceedings of 2002 International Workshop on Strong Coupling Gauge Theories and Effective Field Theories (SCGT 02), (World Scientific, Singapole). 396-408 (2003)

T.Kugo：“超对称 E_6 统一中希格斯双峰作为伪南部-戈德斯通玻色子”2002 年强耦合规范理论和有效场论国际研讨会论文集 (SCGT 02)，（世界科学出版社，新加坡）。

T.Kugo: "Superconformal Tensor Calculus on an Orbifold in 5D"Progress of Theoretical Physics. 108巻1号. 203-228 (2002)

T. Kugo：“5D 轨道上的超共形张量微积分”理论物理学进展，第 108 卷，第 1 期，203-228 (2002)

T.Kugo, K.Ohashi: "Superconformal Tensor Calculus on an Orbifold in 5D"Prog.Theor.Phys.. 108. 203-228 (2002)

T.Kugo、K.Ohashi：“5D Orbifold 上的超共形张量微积分”Prog.Theor.Phys.. 108. 203-228 (2002)