超対称弦ソリトンと超共形代数の表現

超对称弦孤子和超共形代数表示

基本信息

批准号：
10640260
负责人：
MATSUDA Satoshi
金额：
$ 1.54万
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：
1998
资助国家：
日本
起止时间：
1998 至 2000
项目状态：
已结题

来源：
https://kaken.nii.ac.jp/grant/KAKENHI-PROJECT-10640260/
关键词：
Supersymmetry Soliton Instanton Superconformal Algebra Superstring Theory D brane Ads space Non perturbative effects Feigin-Fuks表現

项目摘要

In the present project we have aimed to achieve a general and comprehensive formulation of representation theories of N=4 superconformal algebras, and to study several subjects closely related to string solitons (or instantons) in superstring theories using the results of our representation theories. In particular, we have studied the algebraic properties of N=4 superconformal symmetry which become manifest in models of superstring solitons and supersymmetric WZW models.As new research projects we have got interested in the topic of AdS/CFT correspondence and spectral flow and also in that of nonlinear realization of supersymmetry and its breaking in AdS space. Furthermore, we have started to look at the topic of extra dimensions, particularly our concern is about what physical principles and phenomena would be expectd to operate and show up when we have time extra dimensions on top of space extra dimensions.In order to advance our research project and exchange recent topical information of research developments in the international circle most effectively, we have used the research grants for travel expenses and honorariums for us to attend international research meetings and also to invite seminar speakers to our group from outside.We are going to publish our papers in widely circulated international journals. The papers have already been accepted by the journals, which we shall list in the following.

在本项目中，我们的目标是实现 N=4 超共形代数的表示论的通用和全面的表述，并利用我们的表示论的结果来研究与超弦理论中的弦孤子（或瞬子）密切相关的几个主题。特别是，我们研究了 N=4 超共形对称性的代数性质，这些性质在超弦孤子模型和超对称 WZW 模型中得到体现。作为新的研究项目，我们对 AdS/CFT 对应和谱流以及谱流等主题感兴趣。超对称性的非线性实现及其在 AdS 空间中的破缺。此外，我们已经开始研究额外维度的话题，特别是我们关心的是，当我们在空间额外维度之上拥有时间额外维度时，预计会出现什么物理原理和现象。为了最有效地开展研究项目并交流国际界研究进展的最新热点信息，我们使用了研究补助金作为旅费和酬金，用于参加国际研究会议，并从外部邀请研讨会发言人到我们的小组。在国际上广泛流通的期刊上发表我们的论文期刊。论文均已被期刊接收，具体名单如下。