General trilinear interaction for arbitrary even higher spin gauge fields

Ruben Manvelyan; Karapet Mkrtchyan; Werner Ruehl

doi:10.1016/j.nuclphysb.2010.04.019

General trilinear interaction for arbitrary even higher spin gauge fields

High Energy Physics - Theory 2012-01-18 v3

Authors: Ruben Manvelyan , Karapet Mkrtchyan , Werner Ruehl

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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.

Keywords

higher spin theory spin chains

Cite

@article{arxiv.1003.2877,
  title  = {General trilinear interaction for arbitrary even higher spin gauge fields},
  author = {Ruben Manvelyan and Karapet Mkrtchyan and Werner Ruehl},
  journal= {arXiv preprint arXiv:1003.2877},
  year   = {2012}
}

Comments

21 pages, Latex, v.2. minor correction,v.3 final corrections

General trilinear interaction for arbitrary even higher spin gauge fields

Abstract

Keywords

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