Higher spin interactions: cubic deformations on Minkowski and (Anti)de Sitter backgrounds

Abstract

In the thesis, results presented in various papers involving the author are reviewed. First, general results about consistent deformations at first order (i.e. cubic) using the antifield formalism in Minkowski spacetime are gathered. Secondly, a correspondance between the consistent nonabelian cubic vertices in (Anti)de Sitter and those in Minkowski spacetime is establish. The Minkowski nonabelian cubic solutions for the triplets of spin 2-2-3, 3-3-3 (in particular the parity-breaking ones), 1-s-s and 2-s-s are then studied, the last of which providing the uniqueness of the 2-s-s Fradkin-Vasiliev deformation procedure in (A)dS spacetime. Finally, we carry out second order computations in Minkowski spacetime that show the inconsistency of several cubic solutions, including the spin-3 Berends-Burgers-van Dam vertex.

PhD Thesis presented in Mons,Belgium on September 4th 2009

References in corpus (13)

• Gauge Invariance in Field Theory and Statistical Physics in Operator Formalism
• Gauge Invariant Lagrangians for Free and Interacting Higher Spin Fields. A Review of the BRST formulation
• Unfolding Mixed-Symmetry Fields in AdS and the BMV Conjecture: I. General Formalism
• Universal Limits on Massless High-Spin Particles
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• Constructing the Cubic Interaction Vertex of Higher Spin Gauge Fields
• Consistent couplings between spin-2 and spin-3 massless fields
• A Fiber Approach to Harmonic Analysis of Unfolded Higher-Spin Field Equations
• Real Forms of Complex Higher Spin Field Equations and New Exact Solutions
• Unfolded Description of $Ad{S}_4$ Kerr Black Hole
• Mixed symmetry gauge fields in a flat background
• Geometry and dynamics of higher-spin frame fields
• Unfolded Dynamics and Parameter Flow of Generic AdS(4) Black Hole