Journal of Physics A: Mathematical and Theoretical PAPER • OPEN ACCESS Recent citations A note on the double dual graviton - Relation between standard and exotic duals of differential forms To cite this article: Marc Henneaux et al 2020 J. Phys. A: Math. Theor. 53 014002 Athanasios Chatzistavrakidis and Georgios Karagiannis View the article online for updates and enhancements. This content was downloaded from IP address 194.94.224.254 on 13/02/2020 at 07:57 IOP Journal of Physics A: Mathematical and Theoretical J. Phys. A: Math. Theor. Journal of Physics A: Mathematical and Theoretical J. Phys. A: Math. Theor. 53 (2020) 014002 (13pp) https://doi.org/10.1088/1751-8121/ab56ed 53 2020 © 2019 IOP Publishing Ltd A note on the double dual graviton JPHAC5 Marc Henneaux1,2 , Victor Lekeu1,3 and Amaury Leonard4 1 Université Libre de Bruxelles and International Solvay Institutes, ULB-Campus 014002 Plaine CP231, B-1050 Brussels, Belgium 2 Collège de France, 11 place Marcelin Berthelot, 75005 Paris, France 3 The Blackett Laboratory, Imperial College London, Prince Consort Road London M Henneaux et al SW7 2AZ, United Kingdom 4 Max-Planck-Institut für Gravitationsphysik (Albert-Einstein-Institut), Am M hlenberg 1, DE-14476 Potsdam, Germany A note on the double dual graviton ü E-mail:
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[email protected] Printed in the UK Received 2 October 2019, revised 5 November 2019 Accepted for publication 12 November 2019 JPA Published 3 December 2019 Abstract 10.1088/1751-8121/ab56ed The (free) graviton admits, in addition to the standard Pauli-Fierz description by means of a rank-two symmetric tensor, a description in which one dualizes the corresponding (2, 2)-curvature tensor on one column to get a Paper (D 2, 2)-tensor, where D is the spacetime dimension.