A Calculus for Higher Spin Interactions

Abstract

Higher spin theories can be efficiently described in terms of auxiliary Stückelberg or projective space field multiplets. By considering how higher spin models couple to scale, these approaches can be unified in a conformal geometry/tractor calculus framework. We review these methods and apply them to higher spin vertices to obtain a generating function for massless, massive and partially massless three-point interactions.

24 pages, 3 figures, LaTex. References added, typos corrected. Final version to appear in JHEP

References in corpus (5)

• On the Tensionless Limit of String theory, Off - Shell Higher Spin Interaction Vertices and BCFW Recursion Relations
• On spin 3 interacting with gravity
• Tractors, Mass and Weyl Invariance
• FV-type action for AdS(5) mixed-symmetry fields
• Gauge Symmetry in Phase Space, Consequences for Physics and Spacetime

Cited by in corpus (13)

• Spinning AdS Loop Diagrams: Two Point Functions
• Higher-Spin Algebras, Holography and Flat Space
• On conformal higher spin wave operators
• Geodesic Diagrams, Gravitational Interactions & OPE Structures
• Arbitrary spin conformal fields in (A)dS
• Interactions in Higher-Spin Gravity: a Holographic Perspective
• Spinning Geodesic Witten Diagrams
• Conformal geometry and (super)conformal higher-spin gauge theories
• Feynman rules for higher-spin gauge fields on AdS${}_{d+1}$
• An embedding formalism for CFTs in general states on curved backgrounds
• Cubic-interaction-induced deformations of higher-spin symmetries
• Generalized Dualities in 1T-Physics as Holographic Predictions from 2T-Physics
• Higher spin fields with reversed spin-statistics relation