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Gravity based on Generalized Canonical Formalism

基于广义正则形式主义的引力

基本信息

批准号：
07640388
负责人：
IGARASHI Yuji
金额：
$ 1.15万
依托单位：
FACULTY OF EDUCATION,NIIGATA UNIVERSITY
依托单位国家：
日本
项目类别：
Grant-in-Aid for Scientific Research (C)
财政年份：
1995
资助国家：
日本
起止时间：
1995 至 1996
项目状态：
已结题

来源：
https://kaken.nii.ac.jp/grant/KAKENHI-PROJECT-07640388/
关键词：
Gauge Theory BRST symmetry The Generalized Hamiltonian Formalism (BFV Fromalism)Constrained System Quantization Two-dimensional Super-Gravity Topological Field Theory 量子重力超重力 2次元重力

项目摘要

The purpose of this reserach project is to study quantization of systems with local gauge invarinace such as gravitational theories and string theories on the basis of the generalized hamiltonian formalism developed by Batalin-Fradikin-Vilkoviski. In the last two years for term of the project, we have been carried out quantization of two-dimensional super-gravity theory as an anomalous gauge theory. There, the anomaly-cancelling super-Liouville fields are succesfully introduced to identify the original second-class constrained system with a gauge-fixed version of a first-class system. These results have been reported at "The International Symposium on BRS symmetry on the Occasion of Its 20th Anniversary" which was held at the Research Institute for Matimatical Sciences, Kyoto University for Septmber 18-22,1995.Our method has been applied also to a topological BF theory with an antisymmetric tensor field.We investigated if the system can contain gauge anomaly by using the general cohomological analysis based on the BFV formalism. The main results that the system have no BRS anonalies was reported at The Autumn Meeting of the Japan Physical Sociaty held at Chuoh University, September 1995.

本研究的目的是在巴达林-弗拉迪金-维尔科维斯基发展的广义哈密顿理论的基础上，研究引力理论和弦理论等具有局域规范不变性的系统的量子化。在近两年的项目中，我们将二维超引力理论作为反常规范理论进行了量子化。在这里，异常抵消超柳维尔场被成功地用来识别原始的第二类约束系统和一类系统的规范固定版本。这些结果已于1995年9月18-22日在京都大学数学科学研究所举行的“纪念BRS对称性20周年国际研讨会”上发表。我们的方法也被应用于具有反对称张量场的拓扑BF理论。我们用基于BFV形式的一般上同调分析研究了该系统是否能包含规范反常。1995年9月在中大召开的日本体育学会秋季会议上报告了该系统没有BRS异常的主要结果。