Topologically Massive Higher Spin Gravity

Details Topologically Massive Higher Spin Gravity Topologically Massive Higher Spin Gravity

2011-07-05

arxiv.org/abs/1107.0915v2

JHEP 1110 (2011) 150

Physics

High Energy Physics

High Energy Physics - Theory

34 pages, Latex, minor modifications, preprint numbers added

Scientific paper

We look at the generalisation of topologically massive gravity (TMG) to higher spins, specifically spin-3. We find a special "chiral" point for the spin-three, analogous to the spin-two example, which actually coincides with the usual spin-two chiral point. But in contrast to usual TMG, there is the presence of a non-trivial trace and its logarithmic partner at the chiral point. The trace modes carry energy opposite in sign to the traceless modes. The logarithmic partner of the traceless mode carries negative energy indicating an instability at the chiral point. We make several comments on the asymptotic symmetry and its possible deformations at this chiral point and speculate on the higher spin generalisation of LCFT2 dual to the spin-3 massive gravity at the chiral point.

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