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S-Duality for Linearized Gravity
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We develope the analogue of S-duality for linearized gravity in (3+1)-dimensions. Our basic idea is to consider the self-dual (anti-self-dual) curvature tensor for linearized gravity in the context of the Macdowell-Mansouri formalism. We find that the strong-weak coupling duality for linearized gravity is an exact symmetry and implies small-large duality for the cosmological constant.
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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.
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