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.
Keywords
Cite
@article{arxiv.1012.3143,
title = {Unfolded Equations for Current Interactions of 4d Massless Fields as a Free System in Mixed Dimensions},
author = {O. A. Gelfond and M. A. Vasiliev},
journal= {arXiv preprint arXiv:1012.3143},
year = {2015}
}
Comments
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