Conformal Higher-Spin Gravity: Linearized Spectrum = Symmetry Algebra

Aug 23, 2018
47 pages
Published in:
  • JHEP 11 (2018) 167
  • Published: Nov 27, 2018
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Abstract: (arXiv)
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.
Note:
  • 47 pages, 1 figures; v2: references and appendix D on formal CHS theory (Segal's formulation) added
  • Conformal Field Theory
  • Higher Spin Gravity
  • Higher Spin Symmetry
  • symmetry: conformal
  • algebra: conformal
  • symmetry: algebra
  • symmetry: global
  • spectrum: linear
  • regularization
  • gravitation