Cubic interactions of Maxwell-like higher spins

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作者
Dario Francia
Gabriele Lo Monaco
Karapet Mkrtchyan
机构
[1] Scuola Normale Superiore and INFN,Dipartimento di Fisica
[2] Università di Pisa,Dipartimento di Fisica
[3] Università di Milano-Bicocca,undefined
[4] Max Planck Institut für Gravitationsphysik,undefined
关键词
Gauge Symmetry; Higher Spin Gravity; Higher Spin Symmetry;
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摘要
We study the cubic vertices for Maxwell-like higher-spins in flat and (A)dS background spaces of any dimension. Reducibility of their free spectra implies that a single cubic vertex involving any three fields subsumes a number of couplings among different particles of various spins. The resulting vertices do not involve traces of the fields and in this sense are simpler than their Fronsdal counterparts. We propose an extension of both the free theory and of its cubic deformation to a more general class of partially reducible systems, that one can obtain from the original theory upon imposing trace constraints of various orders. The key to our results is a version of the Noether procedure allowing to systematically account for the deformations of the transversality conditions to be imposed on the gauge parameters at the free level.
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