Chiral gravity, log gravity, and extremal CFT
文献类型：期刊论文
| 作者 | Maloney, Alexander; Song, Wei; Strominger, Andrew; Maloney, A , McGill Univ, Dept Phys, Montreal, PQ H3A 2T8, Canada |
| 刊名 | PHYSICAL REVIEW D
 |
| 出版日期 | 2010 |
| 卷号 | 81期号:6页码:- |
| 关键词 | Topologically Massive Gravity Conformal Field-theory Local Brst Cohomology Gauge-theories Conservation-laws Black-hole Asymptotic Symmetries Logarithmic Operators Central Charges Stability |
| ISSN号 | 1550-7998 |
| 英文摘要 | We show that the linearization of all exact solutions of classical chiral gravity around the AdS(3) vacuum have positive energy. Nonchiral and negative-energy solutions of the linearized equations are infrared divergent at second order, and so are removed from the spectrum. In other words, chirality is confined and the equations of motion have linearization instabilities. We prove that the only stationary, axially symmetric solutions of chiral gravity are BTZ black holes, which have positive energy. It is further shown that classical log gravity-the theory with logarithmically relaxed boundary conditions-has finite asymptotic symmetry generators but is not chiral and hence may be dual at the quantum level to a logarithmic conformal field theories (CFT). Moreover we show that log gravity contains chiral gravity within it as a decoupled charge superselection sector. We formally evaluate the Euclidean sum over geometries of chiral gravity and show that it gives precisely the holomorphic extremal CFT partition function. The modular invariance and integrality of the expansion coefficients of this partition function are consistent with the existence of an exact quantum theory of chiral gravity. We argue that the problem of quantizing chiral gravity is the holographic dual of the problem of constructing an extremal CFT, while quantizing log gravity is dual to the problem of constructing a logarithmic extremal CFT. |
| 学科主题 | Physics |
| URL标识 | 查看原文 |
| WOS记录号 | WOS:000276195700057 |
| 公开日期 | 2012-08-02 |
| 源URL | [http://ir.itp.ac.cn/handle/311006/5150]  |
| 专题 | 理论物理研究所_理论物理所1978-2010年知识产出 |
| 通讯作者 | Maloney, A , McGill Univ, Dept Phys, Montreal, PQ H3A 2T8, Canada |
| 推荐引用方式 GB/T 7714 | Maloney, Alexander,Song, Wei,Strominger, Andrew,et al. Chiral gravity, log gravity, and extremal CFT[J]. PHYSICAL REVIEW D,2010,81(6):-. |
| APA | Maloney, Alexander,Song, Wei,Strominger, Andrew,&Maloney, A , McGill Univ, Dept Phys, Montreal, PQ H3A 2T8, Canada.(2010).Chiral gravity, log gravity, and extremal CFT.PHYSICAL REVIEW D,81(6),-. |
| MLA | Maloney, Alexander,et al."Chiral gravity, log gravity, and extremal CFT".PHYSICAL REVIEW D 81.6(2010):-. |
入库方式： OAI收割
来源：理论物理研究所
浏览0
下载0
收藏0
其他版本
除非特别说明，本系统中所有内容都受版权保护，并保留所有权利。