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Original Research ARTICLE Provisionally accepted The full-text will be published soon. Notify me

Front. Phys. | doi: 10.3389/fphy.2019.00188

Manifest gravitational duality near anti de Sitter space-time

  • 1Autonomous University of Madrid, Spain

We derive a manifestly duality-invariant formulation of the Arnowitt-Deser-Misner action principle linearized around anti de Sitter background. The analysis is based on the introduction of two symmetric potentials --on which the duality transformations act-- upon resolution of the linearized constraints, along the lines of previous works focusing on Minkowski and de Sitter backgrounds. Gauge freedom is crucially exploited to solve the constraints in this manner so convenient for exhibiting duality invariance, which suggests a delicate interplay between duality and gauge symmetry.

Keywords: duality, gravity, higher spin, Hamiltonian formulation of general relativity, gauge symmetry and gauge fields

Received: 19 Feb 2019; Accepted: 30 Oct 2019.

Copyright: © 2019 Hörtner. 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: Dr. Sergio Hörtner, Autonomous University of Madrid, Madrid, Spain, sergio.hortner@uam.es