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Electric-Magnetic Duality in Gravitational Theories

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Front. Phys. | doi: 10.3389/fphy.2018.00129

Spin-2 twisted duality in (A)dS

  • 1University of Mons, Belgium
  • 2ETH Zürich, Switzerland
  • 3Instituto de Ciencias Nucleares, Universidad Nacional Autónoma de México, Mexico

Starting from the dual Lagrangians recently obtained for (partially) massless spin-2 fields in the Stueckelberg formulation, we write the equations of motion for (partially) massless gravitons in (A)dS in the form of twisted-duality relations. In both cases, the latter admit a smooth flat limit. In the massless case, this limit reproduces the gravitational twisted-duality relations previously known for Minkowski spacetime. In the partially-massless case, our twisted-duality relations preserve the number of degrees of freedom in the flat limit, in the sense that they split into a decoupled pair of dualities for spin-1 and spin-2 fields. Our results apply to spacetimes of any dimension greater than three. In four dimensions, the twisted-duality relations for partially massless fields that appeared in the literature are recovered by gauging away the Stueckelberg field.

Keywords: electric-magnetic duality, Dual Graviton, Stueckelberg formalism, constant curvature spacetimes, partially massless fields

Received: 12 Jul 2018; Accepted: 26 Oct 2018.

Edited by:

Ashkbiz Danehkar, Harvard-Smithsonian Center for Astrophysics, United States

Reviewed by:

Ioannis Papadimitriou, Korea Institute for Advanced Study, South Korea
Yurii M. Zinoviev, Institute for High Energy Physics, Russia  

Copyright: © 2018 Boulanger, Campoleoni, Cortese and Traina. This is an open-access article distributed under the terms of the Creative Commons Attribution License (CC BY). The use, distribution or reproduction in other forums is permitted, provided the original author(s) and the copyright owner(s) are credited and that the original publication in this journal is cited, in accordance with accepted academic practice. No use, distribution or reproduction is permitted which does not comply with these terms.

* Correspondence: Mr. Lucas Traina, University of Mons, Mons, 7000, Hainaut, Belgium, lucas.traina@umons.ac.be