Notes on quantum Liouville theory and quantum gravity

N. Seiberg
{"title":"Notes on quantum Liouville theory and quantum gravity","authors":"N. Seiberg","doi":"10.1143/PTPS.102.319","DOIUrl":null,"url":null,"abstract":"There are two motivations to study two-dimensional quantum gravity. First, this theory is a toy model for four-dimensional gravity. Second, two-dimensional quantum gravity is the theory on the world-sheet of both “critical” as well as “non-critical” string theories. Some of our conclusions apply to these two more general situations. Since we would like to draw lessons from this simple theory, which are generic and valid in more complicated systems, we should study it in continuum field theory language. In these notes we review the status of the continuum Liouville approach to quantum gravity. Our understanding of the subject is far from complete. We will point out what we think are the most important open problems, and will speculate about their solutions.","PeriodicalId":20614,"journal":{"name":"Progress of Theoretical Physics Supplement","volume":"102 1","pages":"319-349"},"PeriodicalIF":0.0000,"publicationDate":"2013-05-16","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://sci-hub-pdf.com/10.1143/PTPS.102.319","citationCount":"552","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"Progress of Theoretical Physics Supplement","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1143/PTPS.102.319","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
引用次数: 552

Abstract

There are two motivations to study two-dimensional quantum gravity. First, this theory is a toy model for four-dimensional gravity. Second, two-dimensional quantum gravity is the theory on the world-sheet of both “critical” as well as “non-critical” string theories. Some of our conclusions apply to these two more general situations. Since we would like to draw lessons from this simple theory, which are generic and valid in more complicated systems, we should study it in continuum field theory language. In these notes we review the status of the continuum Liouville approach to quantum gravity. Our understanding of the subject is far from complete. We will point out what we think are the most important open problems, and will speculate about their solutions.
量子刘维尔理论和量子引力注记
研究二维量子引力有两个动机。首先,这个理论是四维引力的一个玩具模型。其次,二维量子引力是世界表上的“临界”弦理论和“非临界”弦理论的理论。我们的一些结论适用于这两种更一般的情况。由于我们想从这个简单的理论中吸取经验教训,这些经验教训在更复杂的系统中是通用的和有效的,我们应该用连续统场论语言来研究它。在这些笔记中,我们回顾了连续体刘维尔方法在量子引力中的地位。我们对这个问题的了解还很不全面。我们将指出我们认为最重要的尚未解决的问题,并推测其解决方案。
本文章由计算机程序翻译,如有差异,请以英文原文为准。
求助全文
约1分钟内获得全文 求助全文
来源期刊
自引率
0.00%
发文量
0
审稿时长
3-8 weeks
×
引用
GB/T 7714-2015
复制
MLA
复制
APA
复制
导出至
BibTeX EndNote RefMan NoteFirst NoteExpress
×
提示
您的信息不完整,为了账户安全,请先补充。
现在去补充
×
提示
您因"违规操作"
具体请查看互助需知
我知道了
×
提示
确定
请完成安全验证×
copy
已复制链接
快去分享给好友吧!
我知道了
右上角分享
点击右上角分享
0
联系我们:info@booksci.cn Book学术提供免费学术资源搜索服务,方便国内外学者检索中英文文献。致力于提供最便捷和优质的服务体验。 Copyright © 2023 布克学术 All rights reserved.
京ICP备2023020795号-1
ghs 京公网安备 11010802042870号
Book学术文献互助
Book学术文献互助群
群 号:481959085
Book学术官方微信