Cubicinteractioninduced deformations of higherspin symmetries
Abstract
The deformations of higherspin symmetries induced by cubic interactions of symmetric massless bosonic fields are analyzed within the metriclike formalism. Our analysis amends the existing classification according to gaugealgebra deformations taking into account also gaugetransformation deformations. In particular, we identify a class of couplings which leave the gauge algebra Abelian but deform one (out of three) gauge transformation, and another class of couplings which deform all three gauge transformations in (A)dS but only two in the flatspace limit. The former class is related to higherspin algebra multiplets (representations of the global algebra) together with the masslessmassivemassive couplings which we also briefly discuss. The latter class is what makes (A)dS a distinguished background for higherspin interactions and includes in particular the gravitational interactions of higherspin fields, retrospectively accounting for the FradkinVasiliev solution to the AragoneDeser problem. We also study the restriction of gauge symmetries to global symmetries (higherspin algebra) discussing the invariant bilinear form and the cyclicity of the structure constants. A possible generalization of the analysis to partiallymassless fields is also commented.
 Publication:

Journal of High Energy Physics
 Pub Date:
 March 2014
 DOI:
 10.1007/JHEP03(2014)103
 arXiv:
 arXiv:1311.0242
 Bibcode:
 2014JHEP...03..103J
 Keywords:

 Gauge Symmetry;
 Global Symmetries;
 AdSCFT Correspondence;
 High Energy Physics  Theory;
 Mathematical Physics
 EPrint:
 32 + 8 pages, 1 figure, 1 table, LaTex. Appendix added, typos corrected. Final version to appear in JHEP