The linearized spectrum and the algebra of global symmetries of conformal higher-spin gravity decompose into infinitely many representations of the conformal algebra. Their characters involve divergent sums over spins. We propose a suitable regularization adapted to their evaluation and observe that their characters are actually equal. This result holds in the case of type-A and type-B (and their higher-depth generalizations) theories and confirms previous observations on a remarkable rearrangement of dynamical degrees of freedom in conformal higher-spin gravity after regularization.
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ArXiv ePrint: 1808.07728
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Basile, T., Bekaert, X. & Joung, E. Conformal higher-spin gravity: linearized spectrum = symmetry algebra. J. High Energ. Phys. 2018, 167 (2018). https://doi.org/10.1007/JHEP11(2018)167