The off-shell behaviour of propagators and the Goldstone field in higher spin gauge theory on $Ad{S}_{d+1}$ space

Abstract

A detailed analysis of the structure and gauge dependence of the bulk-to-bulk propagators for the higher spin gauge fields in $AdS$ space is performed. The possible freedom in the construction of the propagators is investigated and fixed by the correct boundary behaviour and correspondence to the representation theory results for the $AdS$ space isometry group. The classical origin of the Goldstone mode and its connection with the gauge fixing procedure is considered.

Latex, 18 pages, misprints corrected, references added, one section and one appendix added

References in corpus (3)

• The masses of gauge fields in higher spin field theory on AdS(4)
• The masses of gauge fields in higher spin field theory on the bulk of $Ad{S}_4$
• Coupling of Higher Spin Gauge Fields to a Scalar Field in $Ad{S}_{d+1}$ and their Holographic Images in the $d$-Dimensional Sigma Model

Cited by in corpus (17)

• Nonlinear higher spin theories in various dimensions
• General trilinear interaction for arbitrary even higher spin gauge fields
• Spinning Witten Diagrams
• Direct construction of a cubic selfinteraction for higher spin gauge fields
• Ultraviolet behaviour of higher spin gauge field propagators and one loop mass renormalization
• Off-shell construction of some trilinear higher spin gauge field interactions
• Interactions in Higher-Spin Gravity: a Holographic Perspective
• Conformal invariant interaction of a scalar field with the higher spin field in AdS_{D}
• Intertwining Operator Realization of anti de Sitter Holography
• The masses of gauge fields in higher spin field theory on the bulk of $Ad{S}_4$
• The quantum one loop trace anomaly of the higher spin conformal conserved currents in the bulk of $Ad{S}_4$
• The structure of the trace anomaly of higher spin conformal currents in the bulk of $Ad{S}_4$
• Higher Spin Interacting Quantum Field Theory and Higher Order Conformal Invariant Lagrangians
• Boundary action of free AdS higher-spin gauge fields and the holographic correspondence
• Towards holographic higher-spin interactions: Four-point functions and higher-spin exchange
• On correlation functions of higher-spin currents in arbitrary dimensions $d>3$
• The Goldstone fields of interacting higher spin field theory on AdS(4)