权益分类	功能权益	普通用户	{{item.name}}会员
{{category.name}}	{{benefitItem.name}}

Nonperturbative dynamics of string theory via matrix models and gauge theories

通过矩阵模型和规范理论的弦理论的非微扰动力学

基本信息

批准号：
19540294
负责人：
TSUCHIYA Asato
金额：
$ 2.91万
依托单位：
Shizuoka University (2008-2010)Osaka University (2007)
依托单位国家：
日本
项目类别：
Grant-in-Aid for Scientific Research (C)
财政年份：
2007
资助国家：
日本
起止时间：
2007 至 2010
项目状态：
已结题

项目摘要

The large-N reduction asserts that the planar limit of gauge theory is described by the matrix model obtained by its dimensional reduction. I extended it to the case of gauge theory on curved space. By using this result, I constructed a nonperturbative formulation of N=4 super Yang-Mills theory, and tested the AdS/CFT correspondence. This extension of the large-N reduction is also expected to play a crucial role in future work on the IIB matrix model, which is considered to be a nonperturbative formulation of superstring theory. Furthermore, I found that expanding(3+1)-dimensional universe appears dynamically in the IIB matrix model. This result is expected to give answers to the questions why we live in(3+1)-dimensional space-time and how our universe begins.

大n约简认为规范理论的平面极限是由其降维后得到的矩阵模型来描述的。我把它推广到弯曲空间的规范理论。利用这一结果，我构造了N=4超级Yang-Mills理论的非微扰公式，并测试了AdS/CFT对应关系。这种大n约简的扩展也有望在IIB矩阵模型的未来工作中发挥关键作用，IIB矩阵模型被认为是超弦理论的非摄动表述。此外，我发现膨胀的（3+1）维宇宙在IIB矩阵模型中是动态出现的。这一结果有望回答我们为什么生活在（3+1）维时空中以及我们的宇宙是如何开始的问题。