AdS${}_3$/AdS${}_2$ degression of Fronsdal fields

Abstract

We analyze the Kaluza-Klein type procedure in AdS${}_3$ space called the dimensional degression. The topological theory of the Fronsdal field in AdS${}_3$ is reformulated in terms of the fields propagating in AdS${}_2$. We find that the Fronsdal field in AdS${}_3$ leads to finitely many Kaluza-Klein modes. Namely, the obtained spectrum is the massive Klein-Gordon and Proca fields in AdS${}_2$. The result is derived by using the specific mode expansion, the gauge fixing, and 2-dimensional Schouten identities.

arXiv commentv2: 24 pages, Appendix E added, typos fixed

References in corpus (7)

• Asymptotic symmetries of three-dimensional gravity coupled to higher-spin fields
• Spinor-Helicity Three-Point Amplitudes from Local Cubic Interactions
• Cubic interactions of massless bosonic fields in three dimensions II: Parity-odd and Chern-Simons vertices
• Cubic interactions of massless bosonic fields in three dimensions
• Massive fields in AdS(3) and compactification in AdS spacetime
• On Dimensional Degression in AdS(d)
• Massless and Massive Higher Spins from Anti-de Sitter Space Waveguide