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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

基本信息

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

项目摘要

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.

我们在本研究项目的主题上取得了一些成果。1.我们追求的观点是希格斯场是通过紧化从更高维度的规范场获得的。在这种方法中，这个规范理论的群必须扩展到SU（3）×SU（3）×U（1）（3-3-1模型）或更高，以便建立标准模型。我们研究了3-3-1模型的一个唯象推论。2.最近，在超弦理论的背景下，超空间坐标为非对易（NC）的超对称（SUSY）场论被提出，我们成功地构造了NC超空间上的SUSY CP^n非线性σ模型（NLSM）。我们进一步研究了d=2时的SUSY CP^n模型在推广到NC超空间后是否仍保持某些“好性质”的问题。我们得到了微扰方面的结果，如模型的重正化。研究了该模型的非微扰性质、瞬子和可积性。3.研究了规范理论/引力对应及相关问题。特别是用矩阵模型计算四维超杨-米尔斯理论中的有效超势（由于Dijkgraaf-Vafa）为此，我们构造了超对称本征值模型，研究了它的运动方程，提出了Nekrasov配分函数与超对称本征值的关系，并给出了Nekrasov配分函数与超对称本征值之间的关系。在本项目的三年中，我们已经发表了11篇论文。