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2012

On Topologically Massive Spin-2 Gauge Theories beyond Three Dimensions

Bergshoeff, Eric A., Kovacevic, Marija, Rosseel, Jan et al.

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We investigate in which sense, at the linearized level, one can extend the 3D topologically massive gravity theory beyond three dimensions.

We show that, for each k=1,2,3...
a free topologically massive gauge theory in 4k-1 dimensions can be defined describing a massive "spin-2" particle provided one uses a non-standard representation of the massive "spin-2" state which makes use of a two-column Young tableau where each column is of height 2k-1.
We work out the case of k=2, i.e.

On Topologically Massive Spin-2 Gauge Theories beyond Three Dimensions · Around

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Then

S. Deser, “Ghost-free, finite, fourth order D=3 (alas) gravity,” Phys. Rev. Lett. 103
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2009
Later among the works it cites.
E. D. Skvortsov, “Frame-like Actions for Massless Mixed-Symmetry Fields in Minkowski space,” Nucl. Phys. B 808
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See, e.g., E. A. Bergshoeff, O. Hohm and P. K. Townsend, “On Higher Derivatives in 3D Gravity and Higher Spin Gauge Theories,” Annals Phys. 325
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H. Lu and Y. Pang, “Seven-Dimensional Gravity with Topological Terms,” Phys. Rev. D 81
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E. A. Bergshoeff, M. Kovacevic, J. Rosseel, P. K. Townsend and Y. Yin, “A spin-4 Analog of 3D massive gravity,” Class. Quant. Grav. 28

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2009

Cited alongside, same era.

D. Francia and C. M. Hull, “Higher-spin gauge fields and duality,” hep-th/0501236

Cited in the paper.

2011

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E. A. Bergshoeff, J. J. Fernandez-Melgarejo, J. Rosseel and P. K. Townsend, “On ’New Massive’ 4D Gravity,” JHEP 1204

2012

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