On BF-type higher-spin actions in two dimensions

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

arXiv comment15 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

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• Limits of JT gravity
• The Schwarzian sector of higher spin CFTs
• Flat space holography in spin-2 extended dilaton-gravity
• Higher spin JT gravity and a matrix model dual
• Schwarzian for colored Jackiw-Teitelboim gravity
• Color decorations of Jackiw-Teitelboim gravity
• Higher spin wormholes from modular bootstrap