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Supersymmetric theories and nonperturbative effects

超对称理论和非微扰效应

基本信息

批准号：
10209207
负责人：
SAKAI Norisuke
金额：
$ 4.22万
依托单位：
Tokyo Institute of Technology
依托单位国家：
日本
项目类别：
Grant-in-Aid for Scientific Research on Priority Areas (B)
财政年份：
1998
资助国家：
日本
起止时间：
1998 至 2001
项目状态：
已结题

来源：
https://kaken.nii.ac.jp/grant/KAKENHI-PROJECT-10209207/
关键词：
Supersymmetry Models with extra dimensions Domain wall Junction Nonlinear sigma model Anti de Sitter space Supergravity Duality 反対称テンソル場 BPS状態共形場理論超対称理論非摂動効果アノマリー超弦理論ブレーンゲージ理論双対対称性

项目摘要

Sakai and collaborators found a new nonperturbative effects by comparing results obtained from supersymmetric gauge theories and nonperturbative effects derived from analysis with branes. They also constructed a series of exact solutions of junctions in linear and nonlinear sigma models with four supercharges. When several lumps coexist in nonlinear sigma models with eight supercharges, they have shown that part of supersymmetry is still preserved if directions of lumps are corelated with the complex structure of the lumps. They also succeeded to construct coexisting solutions for walls and a string. If there are two or more walls of different kind, supersymmetry may be broken completely. They have found a model which admits exact non-BPS solutions of two walls which realize this supersymmetry breaking mechanism. They have shown that topological quantum number makes the configuration stable. These studies help to introduce supersymmetry into models with extra dimensions and to construct soliton solutions such as a stable wail. Tanii and his collaborators mainly studied the AdS/CFT correspondence. In particular, they examined its local symmetry structure and found that local transformations of supergravity in the bulk of anti de Sitter space induce transformations of conformal supergravity on the boundary. Using this result we computed anomalies of a conformal field theory in the conformal supergravity background on the boundary and found that they reproduce the ones obtained by the ordinary field theoretical method. In connection to the AdS/CFT correspondence we studied stability of massive antisymmetric tensor fields with the Chern-Simons type action in anti de Sitter spacetime and found the condition for the stability. We also studied duality symmetries of antisymmetric tensor fields in general even dimensions, and a relation between nonlinear supersymmetry and linear supersymmetry.

Sakai和他的合作者通过比较超对称规范理论的结果和用膜分析得出的非微扰效应，发现了一种新的非微扰效应。他们还构造了具有四个超荷的线性和非线性西格玛模型中的结的一系列精确解。在含有8个超电荷的非线性Sigma模型中，当多个块共存时，表明如果块的方向与块的复杂结构相关，部分超对称性仍然保持不变。他们还成功地构建了墙和线的共存解决方案。如果有两面或更多不同类型的墙，超对称性可能完全被打破。他们已经找到了一个模型，该模型允许实现这种超对称破缺机制的两个壁的精确非BPS解。结果表明，拓扑量子数使组态稳定。这些研究有助于将超对称性引入到额外维度的模型中，并构造出稳定的哀号等孤子解。Tanii和他的合作者主要研究了ADS/CFT的通信。特别是，他们研究了它的局部对称结构，发现在反德西特空间的大部分中，局部超引力变换引起了边界上的共形超引力变换。利用这一结果，我们计算了边界上共形超重力背景中的共形场论的反常，发现它们重现了用普通场论方法得到的反常。结合ADS/CFT对应，研究了具有Chern-Simons型作用量的大质量反对称张量场在反de Sitter时空中的稳定性，找到了稳定性的条件。我们还研究了一般偶维反对称张量场的对偶对称性，以及非线性超对称性与线性超对称性之间的关系。