On BF-type higher-spin actions in two dimensions


We propose a non-abelian higher-spin theory in two dimensions for an infinite multiplet of massive scalar fields and infinitely many topological higher-spin gauge fields together with their dilaton-like partners. The spectrum includes local degrees of freedom although the field equations take the form of flatness and covariant constancy conditions because fields take values in a suitable extension of the infinite-dimensional higher-spin algebra đ”„đ”°[λ]. The corresponding action functional is of BF-type and generalizes the known topological higher-spin Jackiw-Teitelboim gravity.

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Alkalaev, K., Bekaert, X. On BF-type higher-spin actions in two dimensions. J. High Energ. Phys. 2020, 158 (2020). https://doi.org/10.1007/JHEP05(2020)158

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  • Higher Spin Gravity
  • Higher Spin Symmetry