Analysis of Higher Spin Field Equations in Four Dimensions

Physics – High Energy Physics – High Energy Physics - Theory

Scientific paper

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Latex, 30 pages, several clarifications and few references added

Scientific paper

10.1088/1126-6708/2002/07/055

The minimal bosonic higher spin gauge theory in four dimensions contains massless particles of spin s=0,2,4,.. that arise in the symmetric product of two spin 0 singletons. It is based on an infinite dimensional extension of the AdS_4 algebra a la Vasiliev. We derive an expansion scheme in which the gravitational gauge fields are treated exactly and the gravitational curvatures and the higher spin gauge fields as weak perturbations. We also give the details of an explicit iteration procedure for obtaining the field equations to arbitrary order in curvatures. In particular, we highlight the structure of all the quadratic terms in the field equations.

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