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

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.

preprint2015arXivOpen access
O. A. GelfondM. A. Vasiliev
hep-th
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O. A. GelfondM. A. Vasiliev

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