Topologically massive higher spin gravity

Arjun Bagchi

doi:10.1007/JHEP10(2011)150

Topologically massive higher spin gravity

2011-10-31

35

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AI

DOI：10.1007/JHEP10(2011)150

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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.

Keyword:

Gauge-gravity correspondence

AdS-CFT Correspondence

Conformal and W Symmetry

Topologically massive higher spin gravity

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