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Maloney, Alexander; Song, Wei; Strominger, Andrew; Maloney, A , McGill Univ, Dept Phys, Montreal, PQ H3A 2T8, Canada | |
Chiral gravity, log gravity, and extremal CFT | |
Source Publication | PHYSICAL REVIEW D |
Keyword | Topologically Massive Gravity Conformal Field-theory Local Brst Cohomology Gauge-theories Conservation-laws Black-hole Asymptotic Symmetries Logarithmic Operators Central Charges Stability |
Abstract | 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. |
2010 | |
ISSN | 1550-7998 |
Volume | 81Issue:6Pages:- |
Subject Area | Physics |
Indexed By | SCI |
Funding Organization | DOE[DE-FG02-91ER40654]; NSFC; National Science and Engineering Research Council of Canada ; DOE[DE-FG02-91ER40654]; NSFC; National Science and Engineering Research Council of Canada ; DOE[DE-FG02-91ER40654]; NSFC; National Science and Engineering Research Council of Canada ; DOE[DE-FG02-91ER40654]; NSFC; National Science and Engineering Research Council of Canada |
Citation statistics | |
Document Type | 期刊论文 |
Identifier | http://ir.itp.ac.cn/handle/311006/5150 |
Collection | 理论物理所科研产出_SCI论文 |
Corresponding Author | Maloney, A , McGill Univ, Dept Phys, Montreal, PQ H3A 2T8, Canada |
Recommended Citation 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):-. |
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