Conformal Higher-Spin Gravity: Linearized Spectrum = Symmetry Algebra

Thomas Basile (1) , Xavier Bekaert (2) , Euihun Joung (1)

1 KHU - Kyung Hee University
2 IDP - Institut Denis Poisson

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.

Mots clés: Conformal Field Theory; Higher Spin Gravity; Higher Spin Symmetry; symmetry: conformal; algebra: conformal; symmetry: algebra; symmetry: global; spectrum: linear; regularization; gravitation; spin

Domaines: Physique des Hautes Energies - Théorie [hep-th]

Thomas Basile, Xavier Bekaert, Euihun Joung. Conformal Higher-Spin Gravity: Linearized Spectrum = Symmetry Algebra. Journal of High Energy Physics, 2018, 11, pp.167. ⟨10.1007/JHEP11(2018)167⟩. ⟨hal-01867542⟩