Exotic tensor gauge theory and duality

Details Exotic tensor gauge theory and duality Exotic tensor gauge theory and duality

2002-08-21

arxiv.org/abs/hep-th/0208155v2

Commun.Math.Phys. 235 (2003) 255-273

Physics

High Energy Physics

High Energy Physics - Theory

28 pages, LaTeX, references added, minor changes

Scientific paper

10.1007/s00220-003-0810-z

Gauge fields in exotic representations of the Lorentz group in D dimensions - i.e. ones which are tensors of mixed symmetry corresponding to Young tableaux with arbitrary numbers of rows and columns - naturally arise through massive string modes and in dualising gravity and other theories in higher dimensions. We generalise the formalism of differential forms to allow the discussion of arbitrary gauge fields. We present the gauge symmetries, field strengths, field equations and actions for the free theory, and construct the various dual theories. In particular, we discuss linearised gravity in arbitrary dimensions, and its two dual forms.

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