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Lagrangian Formulation for Free Mixed-Symmetry Bosonic Gauge Fields in (A)dS(d)

K. B. Alkalaev·O. V. Shaynkman·M. A. Vasiliev
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Abstract

Covariant Lagrangian formulation for free bosonic massless fields of arbitrary mixed-symmetry type in (A)dS(d) space-time is presented. The analysis is based on the frame-like formulation of higher-spin field dynamics [1] with higher-spin fields described as p-forms taking values in appropriate modules of the (A)dS(d). The problem of finding free field action is reduced to the analysis of an appropriate differential complex, with the derivation Q associated with the variation of the action. The constructed action exhibits additional gauge symmetries in the flat limit in agreement with the general structure of gauge symmetries for mixed-symmetry fields in Minkowski and (A)dS(d) spaces.

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K. B. Alkalaev, O. V. Shaynkman, M. A. Vasiliev. 2005-05-20. Lagrangian Formulation for Free Mixed-Symmetry Bosonic Gauge Fields in (A)dS(d). https://doi.org/10.1088/1126-6708%2F2005%2F08%2F069

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