The dual graviton theory admits gauge-invariant Penrose-type charges that refine the Noether charges, and under duality some charges stay magnetic in both descriptions while others stay electric in both.
Consistent deformations of dual formulations of linearized gravity: A no-go result
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The consistent, local, smooth deformations of the dual formulation of linearized gravity involving a tensor field in the exotic representation of the Lorentz group with Young symmetry type (D-3,1) (one column of length D-3 and one column of length 1) are systematically investigated. The rigidity of the Abelian gauge algebra is first established. We next prove a no-go theorem for interactions involving at most two derivatives of the fields.
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Gauge-invariant charges of the dual graviton
The dual graviton theory admits gauge-invariant Penrose-type charges that refine the Noether charges, and under duality some charges stay magnetic in both descriptions while others stay electric in both.