English

Higher-spin Interactions from CFT: The Complete Cubic Couplings

High Energy Physics - Theory 2016-05-11 v3 General Relativity and Quantum Cosmology

Abstract

In this letter we provide a complete holographic reconstruction of the cubic couplings in the minimal bosonic higher-spin theory in AdSd+1_{d+1}. For this purpose we also determine the OPE coefficients of all single-trace conserved currents in the dd-dimensional free scalar O(N)O\left(N\right) vector model, and compute the tree-level three-point Witten diagram amplitudes for a generic cubic interaction of higher-spin gauge fields in the metric-like formulation.

Keywords

Cite

@article{arxiv.1603.00022,
  title  = {Higher-spin Interactions from CFT: The Complete Cubic Couplings},
  author = {Charlotte Sleight and Massimo Taronna},
  journal= {arXiv preprint arXiv:1603.00022},
  year   = {2016}
}

Comments

11+7 pages, 1 figure. v2: A few clarifications, including an appendix on the intrinsic form of the vertices and consistency with Noether procedure. Typos corrected, references added. v3: Appendix with off-shell completion of couplings in the de Donder gauge added

R2 v1 2026-06-22T13:00:21.913Z