Physics – High Energy Physics – High Energy Physics - Theory
Scientific paper
2009-03-03
JHEP 0904:106,2009
Physics
High Energy Physics
High Energy Physics - Theory
v3 typos corrected, refs added, version to appear in JHEP
Scientific paper
10.1088/1126-6708/2009/04/106
In this note we study the properties of linearized gravitational excitations in the new massive gravity theory in asymptotically $AdS_3$ spacetime and find that there is also a critical point for the mass parameter at which massive gravitons become massless as in topological massive gravity in $AdS_3$. However, at this critical point in the new massive gravity the energy of all branches of highest weight gravitons vanish and the central charges also vanish within the Brown-Henneaux boundary conditions. The new massive gravity in asymptotically $AdS_3$ spacetime seems to be trivial at this critical point under the Brown-Henneaux boundary conditions if the Brown-Henneaux boundary conditions can be consistent with this theory. At this point, the boundary conditions of log gravity may be preferred.
Liu Yan
Sun Ya-Wen
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