Analysis of Higher Spin Field Equations in Four Dimensions

Abstract

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.

Latex, 30 pages, several clarifications and few references added

References in corpus (4)

• Massless Higher Spins and Holography
• Notes On Higher Spin Symmetries
• On N=1,2,4 Higher Spin Gauge Theories in Four Dimensions
• 7D Bosonic Higher Spin Theory: Symmetry Algebra and Linearized Constraints

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