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Conformal Supergravity and String Model

共形超重力和弦模型

基本信息

批准号：
63540216
负责人：
UEMATSU Tsuneo
金额：
$ 1.02万
依托单位：
Kyoto University
依托单位国家：
日本
项目类别：
Grant-in-Aid for General Scientific Research (C)
财政年份：
1988
资助国家：
日本
起止时间：
1988 至 1990
项目状态：
已结题

项目摘要

It has been widely known that the string model is the most promising candidate for the unified theory of all fundamental interactions including gravity. This model is characterized by the superconformal symmetry in the two-dimensional world sheet drawn by strings in space-time. The conformal supergravity is the gauge theory of this symmetry. Recently, there has been much interest in studying the superconformal algebras in the context of the compactification of strings and the critical phenomena in two-dimensional statistical systems. In the first year of the present research project, we obtained the superspace formulation of N=4 superconformal algebras. We constructed the screening operators which play the important role for the representation theory. In the second year, we calculated the super Schwarzian derivative that represents the anomalies of finite transformations and is important in the study of super Riemann surfaces. In the last year, we investigated off-critical behaviors of superconformal field theories. We extended N=0 sine Gordon theory as a perturbed system to the N=1 and N=2 supersymmetric cases. We obtained quantum conserved charges of vertex oparator type in addition to the ordinary conserved charges of polynomials in super-Virasoro operators. We studied conservation laws at the classical level as well as at the quantum level based on the perturbation theory for N=1 and N=2 sine-Gordon theories. In superstring theory, the space-time N=1 supersymmetry leads to the N=2 world-sheet symmetry. In this respect, N=2 soliton theories attract much interest. The existence of extra charges of vertex operator type are closely related to the structures of S matrices. During the course of research, the discussions with the people at University of Tokyo and KEK and so on were of great help. We published what we obtained in the present research in the journals and presented the results at several workshops, JPS meetings and seminars in various institues.

众所周知，弦模型是包括引力在内的所有基本相互作用的统一理论的最有希望的候选者。这个模型的特点是超共形对称的二维世界片画弦的时空。共形超引力就是这种对称性的规范理论。近年来，超共形代数在弦的紧化和二维统计系统中的临界现象的研究中引起了人们极大的兴趣。在本研究计划的第一年，我们得到了N=4超共形代数的超空间形式。我们构造了在表示论中起重要作用的屏蔽算子。在第二年，我们计算了超Schwarzian导数，它代表了有限变换的异常，在超黎曼曲面的研究中非常重要。在过去的一年里，我们研究了超共形场论的非临界行为。我们将N=0的正弦Gordon理论作为一个微扰系统推广到N=1和N=2的超对称情形。除了超Virasoro算子中多项式的一般守恒荷外，我们还得到了顶点算子型的量子守恒荷。我们研究了N=1和N=2的sine-Gordon理论的经典和量子守恒律。在超弦理论中，时空N=1的超对称性导致了N=2的世界片对称性。在这方面，N=2孤子理论吸引了很多兴趣。顶点算子型额外荷的存在性与S矩阵的结构密切相关。在研究过程中，与东京大学和KEK等方面的人士进行了讨论，这对我们有很大的帮助。我们在期刊上发表了我们在本研究中获得的结果，并在各个研究所的几个研讨会，JPS会议和研讨会上介绍了结果。

项目成果

期刊论文数量（28）

专著数量（0）

科研奖励数量（0）

会议论文数量（0）

专利数量（0）

S. Matsuda and T. Uematsu: ""Chiral Superspace Formulation of N=4 Superconformal Algebras"" Phys. Lett.220B. 413-421 (1989)

S. Matsuda 和 T. Uematsu：“N=4 超共形代数的手性超空间公式”” Phys。

DOI：
发表时间：
期刊：
影响因子：
0
作者：
通讯作者：

K.Kobayashi(小林健一郎): "Conservation Laws in a Perturbed k=1 SU(2)WessーZuminoーWitten Model" to appear the Proceedings of KEK Workshop on Topology,Field Theory and Superstring Theory,KEK report(京大教養プレプリント,KUCPー0022/90,1990). (1990)

K.Kobayashi（Kenichiro Kobayashi）：“Conservation Laws in a Perturbed k=1 SU(2)Wess-Zumino-Witten Model”发表于 KEK Workshop on Topology,Field Theory and Superstring Theory 论文集，KEK 报告（京都大学自由学院）艺术）预印本，KUCP-0022/90，1990）（1990）。