Metric-like Cubic Vertices for Massless Bosonic Higher-Spin Fields in AdS$_3$

Freddie King; Taylor Pomfret; Karapet Mkrtchyan

Metric-like Cubic Vertices for Massless Bosonic Higher-Spin Fields in AdS$_3$

High Energy Physics - Theory 2026-06-28 v1

Authors: Freddie King , Taylor Pomfret , Karapet Mkrtchyan

Abstract

We derive parity-even transverse-traceless metric-like cubic vertices for massless bosonic higher-spin fields in AdS $_3$ . Starting from the known two- and three-derivative vertices in three-dimensional flat space, we construct their AdS $_3$ extensions by imposing gauge invariance and accounting for dimension-dependent identities. The result is shown to be consistent with minimal coupling to gravity.

Keywords

higher-spin fields cubic vertices AdS3 gauge invariance metric-like formalism transverse-traceless

Cite

@article{arxiv.2606.29625,
  title  = {Metric-like Cubic Vertices for Massless Bosonic Higher-Spin Fields in AdS$_3$},
  author = {Freddie King and Taylor Pomfret and Karapet Mkrtchyan},
  journal= {arXiv preprint arXiv:2606.29625},
  year   = {2026}
}

Comments

40 pages, no figures