超対称弦ソリトンと超共形代数の表現

在本项目中，我们的目标是实现一个一般的和全面的表述N=4超共形代数的表示理论，并研究了几个主题密切相关的超弦理论中的弦孤子（或瞬子）使用我们的表示理论的结果。特别地，我们研究了超弦孤子模型和超对称WZW模型中N=4的超共形对称性的代数性质，作为新的研究课题，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和破缺产生了兴趣。此外，我们也开始研究额外维度的课题，特别是我们所关心的是，当我们在空间额外维度的基础上又有了时间额外维度时，将会有哪些物理原理和现象会发生和出现，为了推进我们的研究项目，并最有效地交流国际上最新的研究动态，我们利用研究赠款支付旅费和酬金，供我们参加国际研究会议，并邀请外界人士到我们的研究小组作专题演讲，我们的论文将在广泛发行的国际期刊上发表。这些论文已经被期刊接受，我们将在下面列出。

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.