Fermionic fields in the d-dimensional anti-de Sitter spacetime

Abstract

Arbitrary spin free massless fermionic fields corresponding to mixed symmetry representations of the \hbox{$SO(d-1)$} compact group and propagating in even $d$-dimensional anti-de Sitter spacetime are investigated. Free wave equations of motion, subsidiary conditions and the corresponding gauge transformations for such fields are proposed. The lowest eigenvalues of the energy operator for the massless fields and the gauge parameter fields are derived. The results are formulated in $SO(d-1,2)$ covariant form as well as in terms of intrinsic coordinates.

12 pages, LaTeX

References in corpus (1)

• Free totally (anti)symmetric massless fermionic fields in d-dimensional anti-de Sitter space

Cited by in corpus (46)

• Nonlinear Equations for Symmetric Massless Higher Spin Fields in $(A)d{S}_d$
• Higher spins in AdS_5 at one loop: vacuum energy, boundary conformal anomalies and AdS/CFT
• Gauge invariant Lagrangian formulation of higher spin massive bosonic field theory in AdS space
• Higher Spin Superalgebras in any Dimension and their Representations
• On the Frame-Like Formulation of Mixed-Symmetry Massless Fields in (A)dS(d)
• Gauge invariant formulation of massive totally symmetric fermionic fields in (A)dS space
• BRST approach to Lagrangian construction for fermionic higher spin fields in AdS space
• Light-cone form of field dynamics in anti-de Sitter space-time and AdS/CFT correspondence
• Tensor gauge fields in arbitrary representations of GL(D,R): II. Quadratic actions
• N=1 Supersymmetric Theory of Higher Spin Gauge Fields in AdS(5) at the Cubic Level
• On the Structure of Quartic Vertices for Massless Higher Spin Fields on Minkowski Background
• Massive totally symmetric fields in AdS(d)
• Mixed-symmetry fields in de Sitter space: a group theoretical glance
• Elementary particles with continuous spin
• On the covariant quantization of tensionless bosonic strings in AdS spacetime
• Higher-Spin Fermionic Gauge Fields and Their Electromagnetic Coupling
• FV-type action for AdS(5) mixed-symmetry fields
• Lagrangian Formulation for Free Mixed-Symmetry Bosonic Gauge Fields in (A)dS(d)
• Gauge invariant Lagrangian construction for massive higher spin fermionic fields
• Massless arbitrary spin fields in AdS(5)
• Interacting Higher Spins and the High Energy Limit of the Bosonic String
• Exceptional F(4) Higher-Spin Theory in AdS(6) at One-Loop and other Tests of Duality
• General Lagrangian Formulation for Higher Spin Fields with Arbitrary Index Symmetry. I. Bosonic fields
• On Lagrangian formulation of Higher Spin Theories on AdS
• Radial Dimensional Reduction: (Anti) de Sitter Theories from Flat
• General Lagrangian Formulation for Higher Spin Fields with Arbitrary Index Symmetry. 2. Fermionic fields
• Gravitational Interactions of Higher-Spin Fermions
• Gravitational and higher-derivative interactions of massive spin 5/2 field in (A)dS space
• BRST approach to Lagrangian formulation for mixed-symmetry fermionic higher-spin fields
• Basic introduction to higher-spin theories
• Lagrangian formulation of massive fermionic totally antisymmetric tensor field theory in AdS_d space
• Topologically massive higher spin gauge theories
• Unified formulation for helicity and continuous spin fermionic fields
• BRST approach to Lagrangian formulation of bosonic totally antisymmeric tensor fields in curved space
• On Dimensional Degression in AdS(d)
• Mixed-symmetry fields in AdS(5), conformal fields, and AdS/CFT
• Constrained BRST- BFV Lagrangian formulations for Higher Spin Fields in Minkowski Spaces
• Manifestly Covariant Worldline Actions from Coadjoint Orbits. Part I: Generalities and Vectorial Descriptions
• On Tensorial Spaces and BCFW Recursion Relations for Higher Spin Fields
• On Singleton Composites in Non-compact WZW Models
• Character Integral Representation of Zeta function in AdS${}_{d+1}$: II. Application to partially-massless higher-spin gravities
• Character Integral Representation of Zeta function in AdS${}_{d+1}$: I. Derivation of the general formula
• Fermionic Shift Symmetries in (Anti) de Sitter Space
• BRST Lagrangian construction for spin-3/2 field in Einstein space
• Spinning strings in AdS_5 x S^5: A worldsheet perspective
• Massless spinning particle and null-string on $Ad{S}_d$: projective-space approach