Iterating free-field AdS/CFT: higher spin partition function relations

@article{Beccaria2016IteratingFA,
  title={Iterating free-field AdS/CFT: higher spin partition function relations},
  author={Matteo Beccaria and Arkady A. Tseytlin},
  journal={arXiv: High Energy Physics - Theory},
  year={2016}
}
We find a simple relation between a free higher spin field partition function on thermal quotient of AdS(d+1) and the partition function of the associated d-dimensional conformal higher spin field on thermal quotient of AdS(d). Starting with a conformal higher spin field defined on AdS(d) one may also associate to it another conformal field in d-1 dimensions, thus "iterating" AdS/CFT. We observe that in the case of d=4 this iteration leads to a "trivial" 3d higher spin conformal theory with… 
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