UNFOLDED EQUATIONS FOR CURRENT INTERACTIONS OF 4d MASSLESS FIELDS AS A FREE SYSTEM IN MIXED DIMENSIONS
Gelfond O.A., Vasiliev M.A.

Received: September 30, 2014

DOI: 10.7868/S0044451015030179

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Interactions of massless fields of all spins in four dimensions with currents of any spin are shown to result from a solution of the linear problem that describes a gluing between a rank-one (massless) system and a 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. An interpretation of the obtained results in the spirit of the AdS/CFT correspondence is discussed. Contribution for the JETP special issue in honor of V. A. Rubakov's 60th birthday