Higher-Spin Fermionic Gauge Fields and Their Electromagnetic Coupling

Abstract

We study the electromagnetic coupling of massless higher-spin fermions in flat space. Under the assumptions of locality and Poincare invariance, we employ the BRST-BV cohomological methods to construct consistent parity-preserving off-shell cubic 1-s-s vertices. Consistency and non-triviality of the deformations not only rule out minimal coupling, but also restrict the possible number of derivatives. Our findings are in complete agreement with, but derived in a manner independent from, the light-cone-formulation results of Metsaev and the string-theory-inspired results of Sagnotti-Taronna. We prove that any gauge-algebra-preserving vertex cannot deform the gauge transformations. We also show that in a local theory, without additional dynamical higher-spin gauge fields, the non-abelian vertices are eliminated by the lack of consistent second-order deformations.

44 pages; references added, minor changes made, to appear in JHEP

References in corpus (20)

• Consistency Conditions on the S-Matrix of Massless Particles
• 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
• On massive spin 2 interactions
• Universal Limits on Massless High-Spin Particles
• 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
• Constructing the Cubic Interaction Vertex of Higher Spin Gauge Fields
• Consistent couplings between spin-2 and spin-3 massless fields
• Higher-Spin Gauge Fields Interacting with Scalars: The Lagrangian Cubic Vertex
• FV-type action for AdS(5) mixed-symmetry fields
• Causal Propagation of a Charged Spin 3/2 Field in an External Electromagnetic Background
• On massive spin 2 electromagnetic interactions
• Interacting Higher Spins and the High Energy Limit of the Bosonic String
• A Model Independent Ultraviolet Cutoff for Theories with Charged Massive Higher Spin Fields
• On Lagrangian formulation of Higher Spin Theories on AdS
• Higher Spins and String Interactions
• Intrinsic Cutoff and Acausality for Massive Spin 2 Fields Coupled to Electromagnetism
• On spin 2 electromagnetic interactions
• Electromagnetically Interacting Massive Spin-2 Field: Intrinsic Cutoff and Pathologies in External Fields

Cited by in corpus (45)

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• Fermionic continuous spin gauge field in (A)dS space
• From Higher Spins to Strings: A Primer
• Cubic interactions for arbitrary spin N-extended massless supermultiplets in 4d flat space
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• Cubic interaction vertices for N=1 arbitrary spin massless supermultiplets in flat space
• Gravitational Interactions of Higher-Spin Fermions
• General Lagrangian Formulation for Higher Spin Fields with Arbitrary Index Symmetry. 2. Fermionic fields
• Cubic interaction vertices for continuous-spin fields and arbitrary spin massive fields
• BRST-BV approach to continuous-spin field
• Light-cone continuous-spin field in AdS space
• Consistent deformations of free massive field theories in the Stueckelberg formulation
• Massive spin-2 in the Fradkin-Vasiliev formalism. I. Partially massless case
• A Calculus for Higher Spin Interactions
• Cubic interaction vertices for massive/massless continuous-spin fields and arbitrary spin fields
• BRST invariant effective action of shadow fields, conformal fields, and AdS/CFT
• Mixed-symmetry fields in AdS(5), conformal fields, and AdS/CFT
• Cubic-interaction-induced deformations of higher-spin symmetries
• All spin-2 cubic vertices with two derivatives
• Massive Higher Spin Fields Coupled to a Scalar: Aspects of Interaction and Causality
• CFT adapted approach to massless fermionic fields, AdS/CFT, and fermionic conformal fields
• Note on Gauge Invariance and Causal Propagation
• BRST-BV approach to conformal fields
• Hierarchy of Supersymmetric Higher Spin Connections
• Lagrangian formulation of massive fermionic higher spin fields on a constant electromagnetic background
• Higher Spin Theory - Part I
• Frame- and Metric-like Higher-Spin Fermions
• Aspects of Higher-Spin Theory with Fermions
• The Uniqueness of Hypergravity
• Uniqueness of $\mathcal{N}=2$ and $3$ pure supergravities in 4D
• Conformal totally symmetric arbitrary spin fermionic fields
• Formalism of gauge invariant curvatures and constructing the cubic vertices for massive spin-3/2 field in AdS_4 space
• BRST-BV approach to massless fields adapted to AdS/CFT correspondence
• On correlation functions of higher-spin currents in arbitrary dimensions $d>3$
• Superspace First Order Formalism, Trivial Symmetries and Electromagnetic Interactions of Linearized Supergravity
• Massless higher spin cubic vertices in flat four dimmensional space
• The Elegance of Cohomological Methods
• On Interacting Higher Spin Bosonic Gauge Fields in BRST-antifield Formalism
• Higher spin fields with reversed spin-statistics relation
• Higher-Spin Gauge Models in the BRST-antifield Formalism
• Constructive approach to solution of the conservation condition for conformal higher spin tree-point correlation function with equal spins