On higher spin partition functions

@article{Beccaria2015OnHS,
  title={On higher spin partition functions},
  author={Matteo Beccaria and Arkady A. Tseytlin},
  journal={Journal of Physics A},
  year={2015},
  volume={48},
  pages={275401}
}
We observe that the partition function of the set of all free massless higher spins s = 0, 1, 2, 3,... in flat space is equal to one: the ghost determinants cancel against the 'physical' ones or, equivalently, the (regularized) total number of degrees of freedom vanishes. This reflects large underlying gauge symmetry and suggests analogy with supersymmetric or topological theory. The Z = 1 property extends also to the AdS background, i.e. the 1-loop vacuum partition function of Vasiliev theory… Expand
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