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Higher spin interactions with scalar matter on constant curvature spacetimes: conserved current and cubic coupling generating functions

Abstract : Cubic couplings between a complex scalar field and a tower of symmetric tensor gauge fields of all ranks are investigated on any constant curvature spacetime of dimension d>2. Following Noether's method, the gauge fields interact with the scalar field via minimal coupling to the conserved currents. A symmetric conserved current, bilinear in the scalar field and containing up to r derivatives, is obtained for any rank r from its flat spacetime counterpart in dimension d+1, via a radial dimensional reduction valid precisely for the mass-square domain of unitarity in (anti) de Sitter spacetime of dimension d. The infinite collection of conserved currents and cubic vertices are summarized in a compact form by making use of generating functions and of the Weyl/Wigner quantization on constant curvature spaces.
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Contributor : Elisa Meunier <>
Submitted on : Tuesday, February 1, 2011 - 11:27:49 AM
Last modification on : Thursday, February 7, 2019 - 4:01:54 PM

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Xavier Bekaert, Elisa Meunier. Higher spin interactions with scalar matter on constant curvature spacetimes: conserved current and cubic coupling generating functions. Journal of High Energy Physics, Springer, 2010, 2010 (11), pp.1-31. ⟨10.1007/JHEP11(2010)116⟩. ⟨hal-00561424⟩

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