On BF-type higher-spin actions in two dimensions

Feb 6, 2020
15 pages
Published in:
  • JHEP 05 (2020) 158
  • Published: May 29, 2020
e-Print:

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Abstract: (Springer)
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 𝔥𝔰[λ]. The corresponding action functional is of BF-type and generalizes the known topological higher-spin Jackiw-Teitelboim gravity.
Note:
  • 15 pages. Main results originally appeared in v1 of arXiv:1911.13212, of which the self-contained section 8 has been extracted and expanded, v2: references and comments added. v3: more detailed abstract, extended discussion of 2d higher-spin dynamics in Introduction, Section 5 now contains more detailed explanation of the spectrum, references and acknowledgements added. Journal version
  • Higher Spin Gravity
  • Higher Spin Symmetry
  • dimension: 2
  • multiplet: massive
  • field theory: scalar
  • gauge field theory
  • gravitation
  • topological
  • algebra