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arXiv · 1207.0192

On Topologically Massive Spin-2 Gauge Theories beyond Three Dimensions

Eric A. Bergshoeff·Marija Kovacevic·Jan Rosseel·Yihao Yin
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Abstract

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. 7D, and show, by canonical analysis, that the model describes, unitarily, 35 massive "spin-2" degrees of freedom. The issue of interactions is discussed and compared with the three-dimensional situation.

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Eric A. Bergshoeff, Marija Kovacevic, Jan Rosseel, Yihao Yin. 2012-10-15. On Topologically Massive Spin-2 Gauge Theories beyond Three Dimensions. https://doi.org/10.1007/jhep10(2012)055

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