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Magnetic Charges for the Graviton
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abstract
Symmetries and conserved charges are investigated for linearised gravity and its dual formulation in terms of the dual graviton field. Conserved charges are constructed for the dual graviton theory as Noether charges associated with invariances of the dual graviton. These invariances arise for gauge parameters that are certain generalised Killing tensors. These electric-type charges for the dual graviton are then shown to give magnetic-type charges for the graviton. One of the magnetic-type gravitational charges obtained in this way is the linearisation of the gravitational charge in $d\ge 5$ dimensions that arises as a central charge in the supersymmetry algebra and is carried by Kaluza-Klein monopoles. Solutions of linearised gravity carrying the magnetic gravitational charges are discussed. The application of the approach used here to other gauge theories is discussed.
Forward citations
Cited by 2 Pith papers
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Monopoles, Dirac Strings and Generalised Symmetries
Dirac's monopole action is recast as gauged Maxwell theory, with string positions as 1-form symmetries and the Dirac veto as anomaly cancellation.
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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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