General trilinear interaction for arbitrary even higher spin gauge fields

By R. Manvelyan, K. Mkrtchyan, W. Ruehl. 2010

163 citations recorded by the source corpus.

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.

Subfields: Astronomy and Astrophysics, Nuclear and High Energy Physics, Statistical and Nonlinear Physics

View Paper: https://www.semanticscholar.org/paper/e9ef2b2402be63d73ba731fd459916f659befce8

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Citations in the corpus

How higher-spin gravity surpasses the spin-two barrier (2010, background): “the approach [96, 97] to the writing of covariant non-abelian vertices can be seen as the covariantization of the vertices already obtained in the light-cone approach in [77, 78, 58, 84] where, on top of the cubic coupling given by the light-cone gauge approach, terms are added which vanish in the s”
On the tensionless limit of string theory, off-shell higher spin interaction vertices and BCFW recursion relations (2010, background): “Higher Spin (HS) gauge theories (see [1–9] for recent reviews) are usually formulated in two different ways: in frame-like [10–20] or in metric-like [21–77] approaches.”
Cubic interactions of massless higher spins in (A)dS: Metric-like approach (2011, background): “In this appendix, we briefly discuss how the TT constraints can be forgone in a systematic fashion [44, 47].”
Quartic AdS interactions in higher-spin gravity from Conformal Field Theory (2015, background): “[2–26], which in particular gives a complete classification of local cubic interactions in any dimensions [10].”
On the uniqueness of higher-spin symmetries in AdS and CFT (2013, background): “Some simplifications Results on cubic vertices in Minkowski space were obtained in [24–29].”
Elements of Vasiliev theory (2014, methodology): “A lot is known about cubic interactions both in the metric-like approach of Fronsdal [6–23] and in the frame-like approach of Vasiliev and Fradkin-Vasiliev [2–4, 24–30].”