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arXiv · hep-th/0606198

Tensor gauge fields in arbitrary representations of GL(D,R): II. Quadratic actions

Xavier Bekaert·Nicolas Boulanger
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Abstract

Quadratic, second-order, non-local actions for tensor gauge fields transforming in arbitrary irreducible representations of the general linear group in D-dimensional Minkowski space are explicitly written in a compact form by making use of Levi-Civita tensors. The field equations derived from these actions ensure the propagation of the correct massless physical degrees of freedom and are shown to be equivalent to non-Lagrangian local field equations proposed previously. Moreover, these actions allow a frame-like reformulation a la MacDowell-Mansouri, without any trace constraint in the tangent indices.

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Xavier Bekaert, Nicolas Boulanger. 2006-11-07. Tensor gauge fields in arbitrary representations of GL(D,R): II. Quadratic actions. https://doi.org/10.1007/s00220-006-0187-x

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