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A note on spin-s duality

Nicolas Boulanger·Sandrine Cnockaert·Marc Henneaux
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Abstract

Duality is investigated for higher spin ($s \geq 2$), free, massless, bosonic gauge fields. We show how the dual formulations can be derived from a common "parent", first-order action. This goes beyond most of the previous treatments where higher-spin duality was investigated at the level of the equations of motion only. In D=4 spacetime dimensions, the dual theories turn out to be described by the same Pauli-Fierz (s=2) or Fronsdal ($s \geq 3$) action (as it is the case for spin 1). In the particular s=2 D=5 case, the Pauli-Fierz action and the Curtright action are shown to be related through duality. A crucial ingredient of the analysis is given by the first-order, gauge-like, reformulation of higher spin theories due to Vasiliev.

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Nicolas Boulanger, Sandrine Cnockaert, Marc Henneaux. 2003-09-07. A note on spin-s duality. https://doi.org/10.1088/1126-6708%2F2003%2F06%2F060

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