On massive higher spins and gravity. II. Spin 3

Abstract

In this paper, we continue our investigation of gravitational interactions for massive higher spins, extending our recent work on massive spin 5/2 to massive spin 3, including its massless and partially massless limits. To construct the minimal gravitational interactions (i.e. vertexes containing both standard minimal interactions and non-minimal ones, which are necessary for any $s\ge 5/2$), we use a gauge invariant frame-like formalism. Similarly to the spin 5/2 case, there is a special point $m^2=6\Lambda$, which corresponds to a boundary of the unitary allowed region in $d{S}_4$, where minimal interactions disappear, leaving only the non-minimal ones.

12 pages

References in corpus (12)

• Geometric Formulation for Partially Massless Fields
• Cubic Vertices for Symmetric Higher-Spin Gauge Fields in $(A)d{S}_d$
• Frame-like gauge invariant formulation for massive high spin particles
• Frame-Like Action and Unfolded Formulation for Massive Higher-Spin Fields
• Light-cone gauge cubic interaction vertices for massless fields in AdS(4)
• On spin 3 interacting with gravity
• Spin 3 cubic vertices in a frame-like formalism
• Massive higher spin fields in the frame-like multispinor formalism
• Interacting massive and massless arbitrary spin fields in 4d flat space
• Massive higher spin supermultiplets unfolded
• On the Fradkin-Vasiliev formalism in d=4
• On massive higher spins and gravity. I. Spin 5/2

Cited by in corpus (1)

• On massive higher spins and gravity. IV. Arbitrary spin