Gravitational cubic interactions for a massive mixed symmetry gauge field

Abstract

In a recent paper arXiv:1107.1872 cubic gravitational interactions for a massless mixed symmetry field in AdS space have been constructed. In the current paper we extend these results to the case of massive field. We work in a Fradkin-Vasiliev approach and use frame-like gauge invariant description for massive field which works in (A)dS spaces with arbitrary values of cosmological constant including flat Minkowski space. In this, massless limit in AdS space coincides with the results of arXiv:1107.1872 while we show that it is impossible to switch on gravitational interaction for massless field in dS space.

13 pages

References in corpus (7)

• Unfolding Mixed-Symmetry Fields in AdS and the BMV Conjecture: I. General Formalism
• Frame-like gauge invariant formulation for massive high spin particles
• FV-type action for AdS(5) mixed-symmetry fields
• Gravitational cubic interactions for a simple mixed-symmetry gauge field in AdS and flat backgrounds
• Toward frame-like gauge invariant formulation for massive mixed symmetry bosonic fields
• First Order Formalism for Massive Mixed Symmetry Tensor Fields in Minkowski and (A)dS Spaces
• Frame-like gauge invariant formulation for mixed symmetry fermionic fields

Cited by in corpus (26)

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• On the cubic interactions of massive and partially-massless higher spins in (A)dS
• Mixed-symmetry fields in de Sitter space: a group theoretical glance
• Non-abelian cubic vertices for higher-spin fields in anti-de Sitter space
• General Lagrangian Formulation for Higher Spin Fields with Arbitrary Index Symmetry. I. Bosonic fields
• Continuous spin fields of mixed-symmetry type
• General Lagrangian Formulation for Higher Spin Fields with Arbitrary Index Symmetry. 2. Fermionic fields
• Cubic interaction vertex of higher-spin fields with external electromagnetic field
• Chiral approach to massive higher spins
• Consistent deformations of free massive field theories in the Stueckelberg formulation
• Massive spin-2 in the Fradkin-Vasiliev formalism. I. Partially massless case
• All spin-2 cubic vertices with two derivatives
• On massive spin-3/2 in the Fradkin-Vasiliev formalism
• Hierarchy of Supersymmetric Higher Spin Connections
• On Tensorial Spaces and BCFW Recursion Relations for Higher Spin Fields
• Towards the Fradkin-Vasiliev formalism in three dimensions
• Gauge dependence of vacuum expectation values of gauge invariant operators from soft breaking of BRST symmetry. Example of Gribov-Zwanziger action
• Formalism of gauge invariant curvatures and constructing the cubic vertices for massive spin-3/2 field in AdS_4 space
• Light-cone AdS/CFT-adapted approach to AdS fields/currents, shadows, and conformal fields
• Superspace First Order Formalism, Trivial Symmetries and Electromagnetic Interactions of Linearized Supergravity
• Massless higher spin cubic vertices in flat four dimmensional space
• Massive two-column bosonic fields in the frame-like formalism
• On massive spin-2 in the Fradkin-Vasiliev formalism. II. General massive case
• Superspace First-order Formalism for Massless Arbitrary Superspin Supermultiplets