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Exotic tensor gauge theory and duality
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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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Cited by 2 Pith papers
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Tensor global symmetries and the Stueckelberg mechanism for tensor fields
The authors construct Stueckelberg completions for massive mixed-symmetry tensor fields and derive mixed-symmetry currents and a 't Hooft anomaly for linearized gravity, but a sign error invalidates the (2,1) current ...
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Exotic gravity theory in loop space
Hull's exotic C-field and its curvature G are reformulated as an ultra-local metric and curvature on loop space.
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