Unfolded Equations for Current Interactions of 4d Massless Fields as a Free System in Mixed Dimensions

Abstract

Interactions of massless fields of all spins in four dimensions with currents of any spin is shown to result from a solution of the linear problem that describes a gluing between rank-one (massless) system and rank-two (current) system in the unfolded dynamics approach. Since the rank-two system is dual to a free rank-one higher-dimensional system, that effectively describes conformal fields in six space-time dimensions, the constructed system can be interpreted as describing a mixture between linear conformal fields in four and six dimensions. Interpretation of the obtained results in spirit of AdS/CFT correspondence is discussed.

34 pages; V2: 42 pages, extended version contributed to the volume of JETP dedicated to 60th birthday of Valery Rubakov, Introduction extended, Section 3.2.2 on $Ad{S}_4$ currents, Appendix D on trivial current interactions, and Acknowledgment added; V3: minor corrections

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• On Conformal, SL(4,R) and Sp(8,R) Symmetries of 4d Massless Fields
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Cited by in corpus (9)

• Higher Spin Interactions in Four Dimensions: Vasiliev vs. Fronsdal
• Operator algebra of free conformal currents via twistors
• Multiparticle extension of the higher-spin algebra
• On (Un)Broken Higher-Spin Symmetry in Vector Models
• On Tensorial Spaces and BCFW Recursion Relations for Higher Spin Fields
• Correlation Functions of Sp(2n) Invariant Higher-Spin Systems
• Two-twistor particle models and free massive higher spin fields
• Conserved Higher-Spin Charges in $Ad{S}_4$
• Higher-Rank Fields and Currents