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

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

2006-06-20

arxiv.org/abs/hep-th/0606198v2

Commun.Math.Phys.271:723-773,2007

Physics

High Energy Physics

High Energy Physics - Theory

LaTeX, 53 pages, no figure. Accepted for publication in Communications in Mathematical Physics. Local Fierz-Pauli programme ac

Scientific paper

10.1007/s00220-006-0187-x

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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