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

2010/12/14 by O. A. Gelfond, Gelfond, O. A., M. A. Vasiliev +1
Physics and Astronomy · #FOS: Physical sciences #High Energy Physics - Theory (hep-th) #hep-th

paper · pdf · doi:10.48550/arxiv.1012.3143

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 $AdS_4$ currents, Appendix D on trivial current interactions, and Acknowledgment added; V3: minor corrections

arxiv created 2015/04/02 · arxiv updated 2015/04/06

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.

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