Conformal totally symmetric arbitrary spin fermionic fields

Abstract

Conformal totally symmetric arbitrary spin fermionic fields propagating in the flat space-time of even dimension greater than or equal to four are investigated. First-derivative metric-like formulation involving Fang-Fronsdal kinetic operator for such fields is developed. Gauge invariant Lagrangian and the corresponding gauge transformations are obtained. Gauge symmetries of the Lagrangian are realized by using auxiliary fields and the Stueckelberg fields. Realization of conformal algebra symmetries on the space of conformal gauge fermionic fields is obtained. The on-shell degrees of freedom of the fermionic arbitrary spin conformal fields are also studied.

v2: 19 pages, minor changes in text, typos corrected

References in corpus (39)

• Gauge Invariance in Field Theory and Statistical Physics in Operator Formalism
• Unfolding Mixed-Symmetry Fields in AdS and the BMV Conjecture: I. General Formalism
• Gauge invariant Lagrangian formulation of higher spin massive bosonic field theory in AdS space
• 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
• 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
• BRST-BV approach to cubic interaction vertices for massive and massless higher-spin fields
• Tensor gauge fields in arbitrary representations of GL(D,R): II. Quadratic actions
• Unconstrained Higher Spins of Mixed Symmetry. I. Bose Fields
• Quartet unconstrained formulation for massless higher spin fields
• Maxwell-like Lagrangians for higher spins
• Higher-Spin Gauge Fields Interacting with Scalars: The Lagrangian Cubic Vertex
• Unfolding Mixed-Symmetry Fields in AdS and the BMV Conjecture: II. Oscillator Realization
• FV-type action for AdS(5) mixed-symmetry fields
• Higher-Spin Fermionic Gauge Fields and Their Electromagnetic Coupling
• Non-global logarithms in jet and isolation cone cross sections
• Shadows, currents and AdS fields
• Partial Masslessness and Conformal Gravity
• Gravitational- and Self- Coupling of Partially Massless Spin 2
• On Lagrangian formulation of Higher Spin Theories on AdS
• Measurement of the B+- production cross-section in pp collisions at sqrt(s)=7 TeV
• A note on higher-derivative actions for free higher-spin fields
• General Lagrangian Formulation for Higher Spin Fields with Arbitrary Index Symmetry. 2. Fermionic fields
• Frame-like Actions for Massless Mixed-Symmetry Fields in Minkowski space. Fermions
• Gravitational and higher-derivative interactions of massive spin 5/2 field in (A)dS space
• Higher Spins and Open Strings: Quartic Interactions
• First Order Formalism for Massive Mixed Symmetry Tensor Fields in Minkowski and (A)dS Spaces
• Parent formulations, frame-like Lagrangians, and generalized auxiliary fields
• Effective action for higher spin fields on (A)dS backgrounds
• Solving the Noether procedure for cubic interactions of higher spins in (A)dS
• Invariant Differential Operators for Non-Compact Lie Algebras Parabolically Related to Conformal Lie Algebras
• Notes on the ambient approach to boundary values of AdS gauge fields
• Mixed-symmetry tensor conserved currents and AdS/CFT correspondence
• Radial Reduction and Cubic Interaction for Higher Spins in (A)dS space
• Gauge invariant approach to low-spin anomalous conformal currents and shadow fields
• Massless hook field in AdS(d+1) from the holographic perspective
• Constrained BRST- BFV Lagrangian formulations for Higher Spin Fields in Minkowski Spaces
• BRST-BV approach to conformal fields

Cited by in corpus (7)

• On partition function and Weyl anomaly of conformal higher spin fields
• Fermionic continuous spin gauge field in (A)dS space
• Higher Spins in Hyper-Superspace
• CFT adapted approach to massless fermionic fields, AdS/CFT, and fermionic conformal fields
• Thermal power spectrum in the CFT driven cosmology
• Positive Energy Unitary Irreducible Representations of the Superalgebras $osp(1|2n,R)$ and Character Formulae
• Jung-type Inequalities and Blaschke-Santaló Diagrams for Different Diameter Variants