Holographic positive energy theorems in three-dimensional gravity

被引:20
作者
Barnich, Glenn [1 ]
Oblak, Blagoje
机构
[1] Univ Libre Bruxelles, B-1050 Brussels, Belgium
关键词
positive energy theorems; holography; group theory; lower dimensional models; ASYMPTOTIC SYMMETRIES; EINSTEIN GRAVITY; GRAVITATIONAL WAVES; GENERAL RELATIVITY; COADJOINT ORBITS; DYNAMICS; PROOF; SUPERGRAVITY; GEOMETRY; ADS(3);
D O I
10.1088/0264-9381/31/15/152001
中图分类号
P1 [天文学];
学科分类号
0704 ;
摘要
The covariant phase space of three-dimensional asymptotically flat and anti-de Sitter gravity is controlled by well-understood coadjoint orbits of the Virasoro group. Detailed knowledge on the behavior of the energy functional on these orbits can be used to discuss positive energy theorems.
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页数:9
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共 56 条
[51]   UNITARY REPRESENTATIONS OF SOME INFINITE DIMENSIONAL GROUPS [J].
SEGAL, G .
COMMUNICATIONS IN MATHEMATICAL PHYSICS, 1981, 80 (03) :301-342
[52]   Quantum effective action from the AdS/CFT correspondence [J].
Skenderis, K ;
Solodukhin, SN .
PHYSICS LETTERS B, 2000, 472 (3-4) :316-322
[53]  
Strominger A, 1998, J HIGH ENERGY PHYS
[54]   COADJOINT ORBITS OF THE VIRASORO GROUP [J].
WITTEN, E .
COMMUNICATIONS IN MATHEMATICAL PHYSICS, 1988, 114 (01) :1-53
[55]   2+1 DIMENSIONAL GRAVITY AS AN EXACTLY SOLUBLE SYSTEM [J].
WITTEN, E .
NUCLEAR PHYSICS B, 1988, 311 (01) :46-78
[56]   A NEW PROOF OF THE POSITIVE ENERGY THEOREM [J].
WITTEN, E .
COMMUNICATIONS IN MATHEMATICAL PHYSICS, 1981, 80 (03) :381-402