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Conformal higher-spin gravity: linearized spectrum = symmetry algebra

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A bstractThe 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.… Click to show full abstract

A bstractThe 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.

Keywords: conformal higher; higher spin; linearized spectrum; spin gravity

Journal Title: Journal of High Energy Physics
Year Published: 2018

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