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Conformal Higher-Spin Gravity: Linearized Spectrum = Symmetry Algebra

Abstract : 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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https://hal.archives-ouvertes.fr/hal-01867542
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Submitted on : Tuesday, September 4, 2018 - 1:49:07 PM
Last modification on : Wednesday, June 3, 2020 - 9:31:08 AM

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

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