Duality between Supergravity and Gauge Theories and Supersymmetry Breaking

超引力与规范理论之间的对偶性以及超对称性破缺

• 批准号: 14540265
• 负责人: KUBOTA Takahiro
• 金额: $ 2.05万
• 依托单位: Osaka University
• 依托单位国家: 日本
• 项目类别: Grant-in-Aid for Scientific Research (C)
• 财政年份: 2002
• 资助国家: 日本
• 起止时间: 2002 至 2005
• 项目状态: 已结题
• 来源: https://kaken.nii.ac.jp/grant/KAKENHI-PROJECT-14540265/
• 关键词: Ads; CFT correspondence; supersymmetry; anomaly; noncommutative space; nonlinear sigma model; extra dimensions; Wheeler-De Witt equation; radiative corrections; ニュートリノ; 中性カレント; Gamow-Teller遷移; 非可換幾何; エネルギー条件; 小西アノマリー; anomaly mediation; su

1. We have extended the AdS/CFT correspondences between 5-dim AdS-supergravity and 4-dim. gauge theories. We have shown how to go beyond the 1/N leading approximation. We have demonstrated the 1/N^2 terms in Weyl Anomaly can be reproduced in the gravitational sector by using the technique of the Wheeler-De Witt equation.2. We attacked the so-called tachyonic slepton problem known for long time in the anomaly mediation scenario of SUSY breaking. We pointed out that not only the Weyl-anomaly terms but also Kaehler anomaly should be taken into account. We proposed a phenomenologically viable model, in which tachyonic slepton problem has been solved.3. We analyzed low dimensional field theories in noncommutative space. We constructed soliton solutions in noncommutative scalar field theories and properties of solitons such as moduli have been fully clarified. We also constructed new-type of non-linear sigma model in non-commutative space and causality and energy-conditions are analyzed. These researches will be helpful for further deepning of our understanding of the duality between gravity and gauge theories.4. As byproducts of the above research, we applied the gauge and gravitational theories to the theory of early universe. We discovered a new classical configurartion of gauge fields in the Einstein-Yamg-Mills theory. We pointed out that this configuration might have some relevance to the residual magnetic filed in the early universe.5. We have also done some works which have closely related to high energy phenomenology. As a product of investigating physics of extra-dimensions, we have calculated the production cross section of bileptons. This is based on the idea that Higgs field is not a built-in field but comes out as a consequence of compactification of extra dimensions. We have also calculated to QED and electroweak radiative corrections to neutrino related reactions such as those in KamLAND and SNO.

1. 我们扩展了 5-dim AdS-超重力和 4-dim 之间的 AdS/CFT 对应关系。规范理论。我们已经展示了如何超越 1/N 领先近似。我们已经证明，Weyl 异常中的 1/N^2 项可以通过使用惠勒-德威特方程的技术在引力区中重现。2．我们在 SUSY 破坏的异常调解场景中解决了长期以来已知的所谓的快子睡眠问题。我们指出，不仅要考虑 Weyl 异常项，还应考虑 Kaehler 异常项。我们提出了一个现象学上可行的模型，解决了快子轻子问题。 3．我们分析了非交换空间中的低维场论。我们用非交换标量场理论构造了孤子解，并且充分阐明了孤子的模数等性质。我们还在非交换空间中构建了新型非线性西格玛模型，并分析了因果关系和能量条件。这些研究将有助于进一步加深我们对引力与规范理论的二元性的认识。 4．作为上述研究的副产品，我们将规范理论和引力理论应用到了早期宇宙理论中。我们在爱因斯坦-杨格-米尔斯理论中发现了规范场的新经典配置。我们指出这种结构可能与早期宇宙的剩余磁场有一定的相关性。5．我们也做了一些与高能现象学密切相关的工作。作为研究超维度物理的产物，我们计算了双轻子的产生截面。这是基于这样的想法：希格斯场不是内置场，而是额外维度压缩的结果。我们还计算了对中微子相关反应（例如 KamLAND 和 SNO 中的反应）的 QED 和电弱辐射校正。

项目成果

K.Furuta, T.Inami, H.Nakajima, M.Yamamoto: "Non BPS Solutions of Noncommutative CP^1 Model in 2+1 Dimensions"Journal of High Energy Physics. 0208. 009-018 (2002)

K.Furuta、T.Inami、H.Nakajima、M.Yamamoto：“2 1 维中非交换 CP^1 模型的非 BPS 解”高能物理学杂志。

T.Inami et al.: "Average Size of RandomPolygons with Fixed Knot Topology"Physical Review E. 68. 011102-1-011102-4 (2003)

T.Inami 等人：“具有固定结拓扑的随机多边形的平均大小”Physical Review E. 68. 011102-1-011102-4 (2003)

T.Inami: "Topics in Nonlinear Sigma Models in D=3"Proceedings of the Workshop on Integrable Field Theories, Solitons and Duality. (2002)

T.Inami：“D=3 中的非线性 Sigma 模型主题”可积场论、孤子和对偶性研讨会论文集。

Cosmic Solutions in the Einstein-Weinberg-salam Theory and the Generation of Large Electric and Magnetic Fields

爱因斯坦-温伯格-萨拉姆理论中的宇宙解以及大电场和磁场的产生

• 发表时间: 2003
• 期刊: Nuclear Physics B (Proc. Suppl.) 117
• 作者: Y.Hosotani;H.Emoto;T.Kubota
• 通讯作者: T.Kubota

Extension to the Super-Weyl-Kaehler Symmetry in the Anomaly Mediation

异常中介中 Super-Weyl-Kaehler 对称性的扩展

• 发表时间: 2004
• 期刊: Physics Letters B 586
• 作者: K.Nishihara;T.Kubota
• 通讯作者: T.Kubota