dc.contributor.author | Monteiro, R | |
dc.date.accessioned | 2024-05-28T09:28:08Z | |
dc.date.available | 2024-05-28T09:28:08Z | |
dc.date.issued | 2024-04-17 | |
dc.identifier.citation | Monteiro, R. No U(1) ‘electric-magnetic’ duality in Einstein gravity. J. High Energ. Phys. 2024, 93 (2024). https://doi.org/10.1007/JHEP04(2024)093 | en_US |
dc.identifier.issn | 1126-6708 | |
dc.identifier.uri | https://qmro.qmul.ac.uk/xmlui/handle/123456789/97071 | |
dc.description.abstract | We revisit the question of whether classical general relativity obeys, beyond the linearised order, an analogue of the global U(1) electric-magnetic duality of Maxwell theory, with the Riemann tensor playing the role analogous to the field strength. Following contradictory claims in the literature, we present a simple gauge-invariant argument that the duality does not hold. The duality condition is the conservation of the helicity charge. Scattering amplitudes of gravitons in general relativity, and of gluons in Yang-Mills theory, violate this selection rule already at tree level. Indeed, the maximally-helicity-violating (MHV) amplitudes are famous for their simplicity. The duality in the linearised theories is, therefore, broken by the interactions. In contrast, the tree-level scattering amplitudes in duality-invariant theories of non-linear electromagnetism are known to obey helicity conservation. While the duality is not a symmetry of the full theory of general relativity, it does hold within a sector of the solution space, including vacuum type D solutions, where the duality is known to rotate between mass and NUT charge. | en_US |
dc.format.extent | 93 - ? | |
dc.publisher | Springer Nature | en_US |
dc.relation.ispartof | Journal of High Energy Physics | |
dc.rights | This article is distributed under the terms of the Creative Commons Attribution License (CC-BY 4.0), which permits any use, distribution and reproduction in any medium, provided the original author(s) and source are credited. | |
dc.title | No U(1) ‘electric-magnetic’ duality in Einstein gravity | en_US |
dc.type | Article | en_US |
dc.identifier.doi | 10.1007/jhep04(2024)093 | |
pubs.issue | 4 | en_US |
pubs.notes | Not known | en_US |
pubs.volume | 2024 | en_US |
rioxxterms.funder | Default funder | en_US |
rioxxterms.identifier.project | Default project | en_US |
qmul.funder | University Research Fellowship Renewals 2021::The Royal Society | en_US |