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Symmetries of string theory and dynamics of D-branes

弦理论的对称性和 D 膜动力学

基本信息

批准号：
12640258
负责人：
ITOH Katsumi
金额：
$ 1.79万
依托单位：
NIIGATA UNIVERSITY
依托单位国家：
日本
项目类别：
Grant-in-Aid for Scientific Research (C)
财政年份：
2000
资助国家：
日本
起止时间：
2000 至 2002
项目状态：
已结题

来源：
https://kaken.nii.ac.jp/grant/KAKENHI-PROJECT-12640258/
关键词：
AdS CFT Non-commutative Non-local action Super-pp-wave Exact RG GW relation Lattice gauge theory Super Yang-Mills Ads super-AdSxS Lattice chiral symmetry Super Yang Mills Lattice Gauge Theroy Super particle Green-Schwarz form

项目摘要

We briefly summarize our results reported in our papers listed below.i) Kamimura et al extended the canonical formulation for a non-commutative field proposed by Llosa and Vives and applied it to a NCFT. In their formulation, the Seiberg-Witten map can be understoodas a canonical transformation.ii) Supersymmetric algebra on a maximally supersymmetric supergravity background has been found recently. Further, th* super-pp-wave algebra has been obtained in the Penrose limit. It is also known that the superstring on this background is exactly solvable. Kamimura et al. found that the Penrose limit can be realized as an algebraic contractio and the super-pp wave algebra shows up from the super AdS_5 x S^5 in the limit.ii) It is well-known that a symmetry tends to be broken in the Wilsonian RG. The gauge symmetry is the most important and crucial case if we would like to consider a theory in the Wilsonian RG. Igarashi et al. have shown that the symmetry survives even in the presence of the IR cutoff though it is modified by the regularization.iii) The lattice gauge theory is a natural way to study the super YM theory nonperturbatively. However, a suitable formulation has not been found. In the last two papers on the list, Itoh et al. reported a presence of a Grassmann od* transformation relating fermions and link variables. The relation to the continuum supersymmetry is not yet clear and under investigation.

我们简要地总结了我们在下面列出的论文中报告的结果。i）Kamimura等人扩展了Llosa和Vives提出的非对易场的正则公式，并将其应用于NCFT。在它们的表述中，Seiberg-Witten映射可以理解为一个正则变换。ii）最近发现了极大超对称超引力背景下的超对称代数。进一步，在Penrose极限下得到了超pp波代数.我们也知道，在这种背景下的超弦是精确可解的。Kamimura等人发现Penrose极限可以用代数压缩来实现，并且在极限中从超AdS_5 × S^5中出现了超pp波代数。如果我们想考虑威尔逊RG中的一个理论，规范对称性是最重要和最关键的情况。Igarashi等人已经证明了即使在IR截止存在的情况下，对称性仍然存在，尽管它被正则化修正了。iii）格点规范理论是非微扰地研究超YM理论的一种自然方法。然而，一个合适的公式还没有被发现。在列表上的最后两篇论文中，伊藤等人报道了一个格拉斯曼od* 变换的存在与费米子和链接变量。与连续超对称性的关系尚不清楚，正在研究中。