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Non perturbative structure of quantum gravity and superstring theory

量子引力非微扰结构与超弦理论

基本信息

批准号：
04640283
负责人：
YONEYA Tamiaki
金额：
$ 1.28万
依托单位：
The University of Tokyo
依托单位国家：
日本
项目类别：
Grant-in-Aid for General Scientific Research (C)
财政年份：
1992
资助国家：
日本
起止时间：
1992 至 1993
项目状态：
已结题

来源：
https://kaken.nii.ac.jp/en/grant/KAKENHI-PROJECT-04640283/
关键词：
quantum gravity matrix model superstring theory black hole Liouville model dilaton gravity ディラトン重力弦理論リュービュ模型 W_∞対称性

项目摘要

1. Matrix model and two-dimensional black hole : Yoneya investigated the general properties of the one-dimensional matrix models that are independent of the special choice of the hamiltonian, comparing with the related properties of the 2D black hole solution in the conformal field theory approach to the string theory. Main new results are that (1) there exists an intertwining transformation connecting the linearized tachyon field about the linear-dilaton vacuum to the corresponding tachyon field about the black hole background ; (2) the existence of the intertwining transformation of this type is a necessary condition for the possibility of describing the black hole type background within the framework of the matrix models ; (3) the strength of string interaction about the 2D black hole background is inversely proportional to the square root of the black hole mass ; (4) the odd-point scattering amplitudes of the tachyons about the 2D black hole should vanish. These properties cannot b … More e satisfied in the ordinary c = 1 matrix model which is believed to describe the linear dilaton vacuum. Yoneya has shown that all of these properties can be satisfied if one modifies the ordinary hamiltonian by adding a new term. Based on this, Yoneya, with A.Jevicki, has presented a detailed study of the deformed matrix model as a plausible candidate for a generalization of the ordinary matrix model.2. Quantum Liouville theory : Kazama, with Nicolai, studied the operator formalism originally proposed by Otto and Weigt and found a new solution of the local causality condition. Using the new solution, the proof is given for the validity of the Liouville equation of motion to all orders with respect to the cosmological constant.3. Two-dimensional dilaton gravity : From the point of view of studying quantum gravity in a simplified model with lower degrees of freedom, one of interesting models is the so-called 2D dilaton gravity. However, usual semi-classical method of treating this model is unsatisfactory for studying important conceptual problems such as the evaporation of black hole, because the method is valid only if the number (N) of matter degrees of freedom and the value of the black hole mass are large. Kazama showed that when N = 24 the model can be exactly treated by using the map between the model and a conformal invariant free field theory with central charge c = 24. Furthermore, Kazama exhibited how to extract the space-time structure describing the formation of black hole from the exact physical states. Less

1.矩阵模型和二维黑洞：米谷研究了与哈密顿量的特殊选择无关的一维矩阵模型的一般性质，并与弦理论的共形场论方法中二维黑洞解的相关性质进行了比较。主要新结果是：（1）存在一个连接线性化快子真空场和相应的黑洞背景快子场的缠绕变换，（2）这种缠绕变换的存在是在矩阵模型框架内描述黑洞背景的必要条件;（3）二维黑洞背景下的弦相互作用强度与黑洞质量的平方根成反比;（4）二维黑洞周围快子的奇点散射振幅应为零。这些属性不能B ...更多信息 e满足一般的c = 1矩阵模型，该模型被认为是描述线性介子真空的。米谷已经证明，如果通过增加一个新的项来修改普通的哈密顿量，所有这些性质都可以得到满足。基于此，Yoneya和A.Jevicki提出了变形矩阵模型的详细研究，作为普通矩阵模型推广的合理候选者。量子刘维尔理论：Kazama和Nicolai研究了最初由Otto和Weigt提出的算子形式主义，并找到了局部因果关系条件的新解决方案。利用新的解，证明了Liouville运动方程关于宇宙常数的所有阶的有效性.二维量子引力：从在具有较低自由度的简化模型中研究量子引力的角度来看，一个有趣的模型是所谓的二维量子引力。然而，通常的半经典方法处理这个模型是不令人满意的研究重要的概念问题，如黑洞的蒸发，因为该方法是有效的，只有当数量（N）的自由度和黑洞质量的值是大的。Kazama证明，当N = 24时，可以通过使用模型与中心电荷c = 24的共形不变自由场理论之间的映射来精确地处理模型。此外，风间展示了如何从确切的物理状态中提取描述黑洞形成的时空结构。少