Compactification of M theory and the origin of Higgs and matter fields

M 理论的紧化以及希格斯和物质场的起源

• 批准号: 15540287
• 负责人: INAMI Takeo
• 金额: $ 2.05万
• 依托单位: Chuo University
• 依托单位国家: 日本
• 项目类别: Grant-in-Aid for Scientific Research (C)
• 财政年份: 2003
• 资助国家: 日本
• 起止时间: 2003 至 2005
• 项目状态: 已结题
• 来源: https://kaken.nii.ac.jp/en/grant/KAKENHI-PROJECT-15540287/
• 关键词: M theory; String; Higher-dimensional gauge theory; Supersymmetry; Nonlinear sigma model; Noncommutative; Topological string; Instanton; ヒグス場; コンパクト化; 物質場; 非可換場の理論; 非可換超空間

We have achieved a few results on the subjects of this research project.1.We pursued the viewpoint that the Higgs field is obtained from a gauge field in higher dimensions by compactification. In this approach the group of this gauge theory has to be extended to SU (3)×SU (3)×U(1)(3-3-1 model) or higher in order for the standard model to be built in. We have studied a phenomenological consequence of the 3-3-1 model.2.Recently, in the context of superstring theory, supersymmetric (SUSY) field theories on superspace of which superspace coordinates are noncommutative (NC) have been proposed.We have succeeded in constructing SUSY CP^n nonlinear sigma model (NLSM) on NC superspace. We have further studied the question whether some of the "good properties" of the SUSY CP^n model in d=2 are preserved after extension to NC superspace. We have obtained results on the perturbative aspect, such as renormalizability of the model. We have also studied it's non-perturbative properties, instantons and integrability of the model.3.We have studied gauge theory/gravity correspondence and related problems, in particular the evaluation of the effective superpotential in 4D super Yang-Mills theory using the matrix model (due to Dijkgraaf-Vafa).To this end we have constructed supersymmetric eigenvalue model and studied it's equation of motion.We have proposed a relation between Nekrasov's partition function and the moduli space of D-branes.We have published 11 papers during the three years of this project term.

我们对观点的受试者有一些结果，在这种方法中，在较高的仪表中获得了较高的仪表。 U（1）（3-3-1模型）或高。在NC Superspace上构建了SUSY CP^n非线性Sigma模型（NLSM），我们已经进一步研究了d = 2中的susy cp^n模型的“良好特性”。方面，例如模型的可授权性。超级阳性矩阵模型（由于dijkgraaf-vafa）。habe构建了超对称模型，并研究了它的方程式。这个项目术语的年。

项目成果

Harmonic Forms and Deformation of ALC metric with Spin(7)

带 Spin(7) 的 ALC 度量的谐波形式和变形

• 发表时间: 2003
• 期刊: Nucl. Phys. B650
• 作者: T.Eguchi;H.Kanno;H.Kanno et al.
• 通讯作者: H.Kanno et al.

Harmonic Forms and Deformation of ALC metric with Spin(7) Holonomy

ALC 度量与 Spin(7) Holonomy 的调和形式和变形

• 发表时间: 2003
• 期刊: Nucl.Phys.B 650
• 作者: H.Kanno;Y.Kasui
• 通讯作者: Y.Kasui

T.Eguchi, H.Kanno: "Topological Strings and Nekrasov's Formulas"Journal of High Energy Physics. 12. 006 (2003)

T.Eguchi、H.Kanno：“拓扑弦和涅克拉索夫公式”高能物理学杂志。

Supersymmetric CP^N Model on Noncommutative Superspace

非交换超空间上的超对称 CP^N 模型

• 发表时间: 2004
• 期刊: PRog. Theor. Phys. 111
• 作者: Chong-Sun Chu;T.Inami;D.Y.Soa et al.;T.Inami et al.
• 通讯作者: T.Inami et al.

Konishi Anomaly and Central Extension in N=1/2 Supersymmetry

N=1/2 超对称中的小西异常和中心扩张

• 发表时间: 2005
• 期刊: Nucl.Phys.B 725
• 作者: Chong-Sun Chu;T.Inami
• 通讯作者: T.Inami