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

Quantum study of ground state and black holes in superstring theories

超弦理论中基态和黑洞的量子研究

基本信息

批准号：
12640270
负责人：
OHTA Nobuyoshi
金额：
$ 2.5万
依托单位：
Osaka 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 2003
项目状态：
已结题

来源：
https://kaken.nii.ac.jp/grant/KAKENHI-PROJECT-12640270/
关键词：
BLACK hole superstring quantum theory AdS CFT correspondence nonperturbative analysis pp wave duality 非摂動論的解析行列理論 -AdS

项目摘要

This research project achieved the following results.(1) It is important to study noncommutative theories realized on branes in string theories in order to gain deep understanding of quantum gravity. We have studied theories with noncommutativity not only between space and space coordinates but also space and time, and have given foundation to the nonperturbative analysis of these theories. Furthermore we explicitly examined the transformation properties of 3-dimensional theories under duality. We have also studied supersymmetry and fluctuation spectrum around D-branes realized as solitonic solutions in these theories. As an extention of this work, we showed that there is unbroken supersymmetry in D and anti-D-brane system if we have nontrivial backgrounds. The moduli space of solitons is also clarified and the results are used to examine their scatterings.(2) Time-dependent solutions are important to study formation of black holes and cosmology in terms of string theory. When we consider D-branes in such space-time, we showed that field theories and/or open string theories are realized on the branes. We have also given most general time-dependent brane solutions. They are exact solutions with time-dependent size of the internal space, and it turns out that they give very interesting cosmological models with inflation. They give very promising models to explain the present expanding universe with acceleration and attract much, attention.(3) PP wave space-time is known to give solvable background of string theory, and hence is very interesting background. We studied this geometry focusing on the supersymmetry aspects of the solution. Also systematic method is developed to derive various forms of p-brane ((p+1)-dimensional) action, and we plan to use the result to study quantization of p-branes.

本研究项目取得了以下成果。(1)研究弦论中实现在膜上的非对易理论对于深入理解量子引力具有重要意义。我们不仅研究了空间坐标与空间坐标之间以及空间坐标与时间坐标之间的非对易性理论，为这些理论的非微扰分析提供了基础。此外，我们明确地检查了对偶下的三维理论的变换性质。我们还研究了在这些理论中实现为孤子解的D-膜的超对称性和涨落谱。作为这一工作的推广，我们证明了在非平凡背景下D和反D膜系统中存在未破缺的超对称性。还阐明了孤子的模空间，并利用这些结果研究了孤子的散射。(2)含时解对于用弦论研究黑洞的形成和宇宙学有重要意义。当我们考虑这样的时空中的D-膜时，我们证明了场论和/或开弦理论是在膜上实现的。我们也给出了最一般的含时膜解。它们是内部空间大小依赖于时间的精确解，事实证明，它们给出了非常有趣的具有暴胀的宇宙学模型。它们给出了很有希望的模型来解释目前加速膨胀的宇宙，引起了人们的广泛关注。(3)PP波时空被认为是弦理论的可解背景，因此是非常有趣的背景。我们研究了这种几何集中在超对称方面的解决方案。我们还发展了一种系统的方法来导出p-膜（p+1）维）作用量的各种形式，并计划利用这一结果来研究p-膜的量子化。