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。我们已经扩展了5-DIM AD-SUPERGRAVITY和4-DIM之间的AD/CFT对应关系。衡量理论。我们已经展示了如何超越1/N领先近似值。我们已经证明了Weyl异常中的1/N^2项可以通过使用Wheeler-De Witt方程的技术在引力扇区中复制。2。在Susy Breaking的异常调解场景中，我们攻击了所谓的速旋Slepton问题。我们指出，不仅应考虑Weyl-Anomaly术语，而且还应考虑Kaehler异常。我们提出了一个在现象学上可行的模型，其中已经解决了速酸盐问题。3。我们分析了非共同空间中的低维场理论。我们在非共同标量场理论中构建了孤子溶液，并且已经完全阐明了孤子的唯一溶液。我们还分析了非交通空间和因果关系和能量条件的非线性Sigma模型的新型。这些研究将有助于进一步深入了解我们对重力和衡量理论之间二元性的理解。4。作为上述研究的副产品，我们将仪表和引力理论应用于早期宇宙理论。我们在爱因斯坦 - 米尔斯理论中发现了仪表场的新经典配置。我们指出，这种配置可能与早期宇宙中提交的残余磁性有一定的关系。5。我们还完成了一些与高能量现象学密切相关的作品。作为研究额外维度物理学的产物，我们计算了双肽的生产横截面。这是基于Higgs字段不是内置字段的想法，而是由于额外维度的压实而出现的。我们还计算了QED和Electroweak辐射校正，以矫正中微子相关的反应，例如Kamland和SNO中的反应。

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