Formalism of gauge invariant curvatures and constructing the cubic vertices for massive spin-3/2 field in AdS_4 space

Abstract

We study the interaction of massive spin-3/2 field with electromagnetic and gravitational fields in the four dimensional AdS space and construct the corresponding cubic vertices. Construction is based on generalization of Fradkin-Vasiliev formalism, developed for massless higher spin fields, to massive fermionic higher spin fields. The main ingredients of this formalism are the gauge invariant curvatures. We build such curvatures for the massive theory under consideration and show how the cubic vertices are written in their terms.

arXiv comment14 pages, no figures

References in corpus (35)

• Cubic interaction vertices for massive and massless higher spin fields
• String Lessons for Higher-Spin Interactions
• Cubic interaction vertices for fermionic and bosonic arbitrary spin fields
• On The Uniqueness of Minimal Coupling in Higher-Spin Gauge Theory
• General trilinear interaction for arbitrary even higher spin gauge fields
• Cubic Vertices for Symmetric Higher-Spin Gauge Fields in $(A)d{S}_d$
• A generating function for the cubic interactions of higher spin fields
• Cubic interactions of massless higher spins in (A)dS: metric-like approach
• On massive spin 2 interactions
• BRST-BV approach to cubic interaction vertices for massive and massless higher-spin fields
• Constructing the Cubic Interaction Vertex of Higher Spin Gauge Fields
• Massive Spin 3/2 Electrodynamics
• Inconsistencies of Massive Charged Gravitating Higher Spins
• N=1 Supersymmetric Theory of Higher Spin Gauge Fields in AdS(5) at the Cubic Level
• Consistent couplings between spin-2 and spin-3 massless fields
• Higher-spin algebras and cubic interactions for simple mixed-symmetry fields in AdS spacetime
• On spin 3 interacting with gravity
• Non-abelian cubic vertices for higher-spin fields in anti-de Sitter space
• Spin 3 cubic vertices in a frame-like formalism
• Gravitational cubic interactions for a simple mixed-symmetry gauge field in AdS and flat backgrounds
• Higher-Spin Fermionic Gauge Fields and Their Electromagnetic Coupling
• FV-type action for AdS(5) mixed-symmetry fields
• On massive spin 2 electromagnetic interactions
• Gravitational and higher-derivative interactions of massive spin 5/2 field in (A)dS space
• Gravitational Interactions of Higher-Spin Fermions
• Cubic interaction vertex of higher-spin fields with external electromagnetic field
• Consistent Non-Minimal Couplings of Massive Higher-Spin Particles
• Massive spin-2 in the Fradkin-Vasiliev formalism. I. Partially massless case
• Gravitational cubic interactions for a massive mixed symmetry gauge field
• On electromagnetic interactions for massive mixed symmetry field
• Helicity-1/2 Mode as a Probe of Interactions of Massive Rarita-Schwinger Field
• On gravitational interactions for massive higher spins in $Ad{S}_3$
• Massive Higher Spin Fields Coupled to a Scalar: Aspects of Interaction and Causality
• Dual versions of N=2 supergravity and spontaneous supersymmetry breaking
• On massive gravity and bigravity in three dimensions

Cited by in corpus (6)

• On massive spin-3/2 in the Fradkin-Vasiliev formalism
• Lagrangian formulation of massive fermionic higher spin fields on a constant electromagnetic background
• On massive super(bi)gravity in the constructive approach
• Towards the Fradkin-Vasiliev formalism in three dimensions
• Massive spin three-half field in a constant electromagnetic background
• On massive spin-2 in the Fradkin-Vasiliev formalism. II. General massive case