General trilinear interaction for arbitrary even higher spin gauge fields

DOI10.1016/J.NUCLPHYSB.2010.04.019zbMATH Open1206.81079arXiv1003.2877OpenAlexW2046512107MaRDI QIDQ627799

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Publication date: 4 March 2011

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Abstract: Using Noether's procedure we present a complete solution for the trilinear interactions of arbitrary spins $s_1,s_2,s_3$ in a flat background, and discuss the possibility to enlarge this construction to higher order interactions in the gauge field. Some classification theorems of the cubic (self)interaction with different numbers of derivatives and depending on relations between the spins are presented. Finally the expansion of a general spin $s$ gauge transformation into powers of the field and the related closure of the gauge algebra in the general case are discussed.

Full work available at URL: https://arxiv.org/abs/1003.2877

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