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A note on spin-s duality

Nicolas Boulanger1, Sandrine Cnockaert1 and Marc Henneaux1

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Duality is investigated for higher spin (s ≥ 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 ≥ 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.


Keywords

Duality in Gauge Field Theories

Gauge Symmetry

PACS

11.15.-q Gauge field theories

11.25.Tq Gauge/string duality

11.30.-j Symmetry and conservation laws

14.70.-e Gauge bosons

Subjects

Particle physics and field theory

Dates

Issue 06 (June 2003)

Received 12 June 2003, accepted for publication 30 June 2003

Published 7 July 2003



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