Аннотация
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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