Chiral gravity, log gravity, and extremal CFT

CORC > 理论物理研究所 > 中国科学院理论物理研究所 > 理论物理所科研产出 > 理论物理所1978-2010年知识产出

	Chiral gravity, log gravity, and extremal CFT
	Maloney, Alexander; Song, Wei; Strominger, Andrew; Maloney, A , McGill Univ, Dept Phys, Montreal, PQ H3A 2T8, Canada
刊名	PHYSICAL REVIEW D
	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
内容类型	期刊论文
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):-.