Generalised Spin Structures in General Relativity


Generalised spin structures describe spinor fields that are coupled to both general relativity and gauge theory. We classify those generalised spin structures for which the corresponding fields admit an infinitesimal action of the space–time diffeomorphism group. This can be seen as a refinement of the classification of generalised spin structures by Avis and Isham (Commun Math Phys 72:103–118, 1980).


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This work was supported by the NWO Grant 613.001.214 ‘Generalised Lie algebra sheaves’. I would like to thank the anonymous referee for several comments that helped improve the structure of the paper.

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Correspondence to Bas Janssens.

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Communicated by James A. Isenberg.

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Janssens, B. Generalised Spin Structures in General Relativity. Ann. Henri Poincaré 19, 1587–1610 (2018).

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