par Bunster, Claudio;Henneaux, Marc 
;Hortner, Sergio
Référence Journal of Physics A: Mathematical and Theoretical, 46, 21
Publication Publié, 2013
;Hortner, Sergio Référence Journal of Physics A: Mathematical and Theoretical, 46, 21
Publication Publié, 2013
Article révisé par les pairs
| Résumé : | The concept of electric-magnetic duality can be extended to linearized gravity. It has indeed been established that in four dimensions, the Pauli-Fierz action (quadratic part of the Einstein-Hilbert action) can be cast in a form that is manifestly invariant under duality rotations in the internal 2-plane of the spacetime curvature and its dual. In order to achieve this manifestly duality-invariant form, it is necessary to introduce two 'prepotentials', which form a duality multiplet. These prepotentials enjoy interesting gauge invariance symmetries, which are, for each, linearized diffeomorphisms and linearized Weyl rescalings. The purpose of this note is twofold: (i) to rewrite the manifestly-duality invariant action obtained in previous work in a way that makes its gauge invariances also manifest, (ii) to explicitly show that the equations of motion derived from that action can be interpreted as twisted self-duality conditions on the curvature tensors of the two metrics obtained from the two prepotentials. © 2013 IOP Publishing Ltd. |
