English

On BF-type higher-spin actions in two dimensions

High Energy Physics - Theory 2020-06-24 v3

Abstract

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]hs[\lambda]. The corresponding action functional is of BF-type and generalizes the known topological higher-spin Jackiw-Teitelboim gravity.

Keywords

Cite

@article{arxiv.2002.02387,
  title  = {On BF-type higher-spin actions in two dimensions},
  author = {K. B. Alkalaev and Xavier Bekaert},
  journal= {arXiv preprint arXiv:2002.02387},
  year   = {2020}
}

Comments

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

R2 v1 2026-06-23T13:33:19.857Z