Feynman rules for higher-spin gauge fields on AdS${}_{d+1}$

Abstract

We determine the Feynman rules for the minimal type A higher-spin gauge theory on AdS${}_{d+1}$ at cubic order. In particular, we establish the quantum action at cubic order in de Donder gauge, including ghosts. We also give the full de Donder gauge propagators of higher-spin gauge fields and their ghosts. This provides all ingredients needed to quantise the theory at cubic order.

v2: 32 pages, typos fixed, refs added

References in corpus (18)

• Spinning AdS Propagators
• Gauge Invariant Lagrangians for Free and Interacting Higher Spin Fields. A Review of the BRST formulation
• Higher spins in AdS_5 at one loop: vacuum energy, boundary conformal anomalies and AdS/CFT
• Current Exchanges and Unconstrained Higher Spins
• A generating function for the cubic interactions of higher spin fields
• On the Tensionless Limit of String theory, Off - Shell Higher Spin Interaction Vertices and BCFW Recursion Relations
• Consistent couplings between spin-2 and spin-3 massless fields
• Higher-Spin Gauge Fields Interacting with Scalars: The Lagrangian Cubic Vertex
• No-Go Theorems for Unitary and Interacting Partially Massless Spin-Two Fields
• On spin 3 interacting with gravity
• FV-type action for AdS(5) mixed-symmetry fields
• Higher spin interactions with scalar matter on constant curvature spacetimes: conserved current and cubic coupling generating functions
• (A)dS exchanges and partially-massless higher spins
• Higher-Spin Algebras, Holography and Flat Space
• On conformal higher spin wave operators
• Ultraviolet behaviour of higher spin gauge field propagators and one loop mass renormalization
• Flato-Fronsdal theorem for higher-order singletons
• On the Holography of Free Yang-Mills

Cited by in corpus (17)

• Bootstrapping Inflationary Correlators in Mellin Space
• Spinning Mellin Bootstrap: Conformal Partial Waves, Crossing Kernels and Applications
• Veneziano Amplitude of Vasiliev Theory
• AdS Weight Shifting Operators
• Cubic interactions of massless bosonic fields in three dimensions II: Parity-odd and Chern-Simons vertices
• Cubic interaction vertices for massive/massless continuous-spin fields and arbitrary spin fields
• A Compendium of Sphere Path Integrals
• Higher spin de Sitter quasinormal modes
• Restrictions for $n$-Point Vertices in Higher-Spin Theories
• Ultraviolet phenomena in AdS self-interacting quantum field theory
• On interacting quantum fields in various charts of anti de Sitter space-time
• Off-shell higher-spin fields in $Ad{S}_4$ and external currents
• Unfolded Dynamics Approach and Quantum Field Theory
• A note on higher-order vertices of higher-spin fields in flat and (A)dS space
• On correlation functions of higher-spin currents in arbitrary dimensions $d>3$
• Constructing CFTs from AdS flows
• Constructive approach to solution of the conservation condition for conformal higher spin tree-point correlation function with equal spins