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题名: Chiral gravity, log gravity, and extremal CFT
作者: Maloney, Alexander ;  Song, Wei ;  Strominger, Andrew
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
学科分类: Physics
通讯作者: Maloney, A , McGill Univ, Dept Phys, Montreal, PQ H3A 2T8, Canada
部门归属: [Maloney, A] McGill Univ, Dept Phys, Montreal, PQ H3A 2T8, Canada; [Song, W] Chinese Acad Sci, Inst Theoret Phys, Key Lab Frontiers Theoret Phys, Beijing 100190, Peoples R China; [Song, W; Strominger, A] Harvard Univ, Ctr Fundamental Laws Nat, Jefferson Phys Lab, Cambridge, MA 02138 USA
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.
资助者: DOE[DE-FG02-91ER40654]; NSFC; National Science and Engineering Research Council of Canada
收录类别: SCI
原文出处: 查看原文
WOS记录号: WOS:000276195700057
Citation statistics: 
内容类型: 期刊论文
URI标识: http://ir.itp.ac.cn/handle/311006/5150
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Maloney, Alexander,Song, Wei,Strominger, Andrew. Chiral gravity, log gravity, and extremal CFT[J]. PHYSICAL REVIEW D,2010,81(6):-.
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