Tensor Gauge Fields in Arbitrary Representations of GL( D, $${\mathbb{R})}$$ : II. Quadratic Actions |
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Authors: | Xavier Bekaert Nicolas Boulanger |
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Institution: | (1) Institut des Hautes études Scientifiques, Le Bois-Marie, 35 route de Chartres, 91440 Bures-sur-Yvette, France;(2) Université de Mons-Hainaut, Mécanique et Gravitation, 6 avenue du Champ de Mars, 7000 Mons, Belgium |
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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
à la MacDowell–Mansouri, without any trace constraint in the tangent indices.
Chargé de Recherches FNRS, Belgium |
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Keywords: | |
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