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：Yoneya研究了独立于哈密顿式的特殊选择的一维矩阵模型的一般特性，与在弦理论的保形场理论方法中的2D黑洞解决方案的相关特性进行了比较。主要的新结果是（1）存在一个相互交织的转换，将线性 - 迪拉顿真空的线性化tachyon磁场连接到黑洞背景周围的相应的tachyon场；（2）这种类型的相互交织转换的存在是描述矩阵模型框架内的黑洞类型背景的必要条件；（3）围绕2D黑洞背景的弦相互作用的强度与黑洞质量的平方根成反比；（4）Tachyons围绕2D黑洞的奇数散射放大器应消失。这些属性不能在普通的C = 1矩阵模型中更满足，该模型被认为描述了线性dilaton真空。 Yoneya表明，如果一个人通过添加新术语来修改普通的哈密顿量，则可以满足所有这些属性。基于此，Yoneya与A.Jevicki一起提出了对变形矩阵模型作为普通矩阵模型概括的合理候选者的详细研究。2。 Quantum Liouville理论：Kazama与Nicolai一起研究了Otto和Weigt最初提出的操作员格式，并找到了局部因果关系条件的新解决方案。使用新解决方案，证明了liouville运动方程与宇宙常数的所有顺序的有效性3。二维DILATON重力：从研究量子重力的角度，在具有较低自由度的简化模型中，有趣的模型之一是所谓的2D DILATON重力。但是，通常的半古典方法卡萨马表明，当n = 24时，可以通过使用模型和中央电荷C = 24的模型和保形的不变自由场理论来精确处理模型。此外，卡萨马暴露了如何提取从确切的物理状态中描述黑洞形成黑洞的形成的时空结构。较少的