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

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.

40 pages, no figures