超対称弦ソリトンと超共形代数の表現

在本项目中，我们的目标是实现N=4个超共形代数的表示理论的一般和全面的表述，并利用我们的表示理论的结果研究与超弦理论中的弦孤子(或瞬子)密切相关的几个主题。特别地，我们研究了在超弦孤子模型和超对称WZW模型中表现出来的N=4超共形对称性的代数性质，作为新的研究项目，我们对ADS/CFT对应和谱流以及ADS空间中超对称性的非线性实现及其破缺问题产生了兴趣。此外，我们已经开始关注额外维度的话题，特别是我们关心的是，当我们在空间额外维度之上拥有额外的时间维度时，什么物理原理和现象将会运行和出现。为了最有效地推进我们的研究项目，并最有效地交流国际圈研究发展的最新热点信息，我们利用研究补助金参加国际研究会议，并邀请外部研讨会演讲者到我们团队。我们将在广泛发行的国际期刊上发表我们的论文。这些论文已经被期刊接受，我们将在下面列出这些论文。

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.