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.

该研究项目达到了以下结果。（1）研究在弦理论中实现的非交通性理论很重要，以便深入了解量子重力。我们不仅在空间和空间坐标之间，还可以在空间和时间之间进行非共同性研究理论，并为这些理论的非扰动分析奠定了基础。此外，我们明确研究了双重性下3维理论的转换特性。我们还研究了这些理论中孤子溶液所认识到的D-branes周围的超对称性和波动光谱。为了扩展这项工作，我们表明，如果我们有非平凡的背景，则D和抗D-Brane系统中存在不间断的超对称性。还阐明了孤子的模量空间，并将结果用于检查它们的散射。（2）时间依赖性解决方案对于研究弦理论的黑洞和宇宙学的形成很重要。当我们在这样的时空考虑D-branes时，我们表明脑部理论和/或开放的弦理论将在麸皮上实现。我们还提供了大多数一般的时间依赖性的Brane解决方案。它们是具有内部空间尺寸的精确解决方案，事实证明，它们提供了具有通货膨胀的非常有趣的宇宙学模型。他们提供了非常有前途的模型，以加速解释当前的扩展宇宙，并引起很多关注。（3）PP波时时间是可以提供弦理论的可解决背景的，因此是非常有趣的背景。我们研究了该几何形状，重点是溶液的超对称方面。还开发了系统的方法来得出各种形式的p-brane（（p+1）二维动作，我们计划使用结果来研究p-branes的量化。