Supersymmetric electric-magnetic duality of hypergravity

Claudio Bunster, Marc Henneaux, Sergio Hörtner, and Amaury Leonard
Phys. Rev. D 90, 045029 – Published 25 August 2014; Erratum Phys. Rev. D 95, 069908 (2017)

Abstract

Hypergravity is the theory in which the graviton, of spin-2, has a supersymmetric partner of spin-5/2. There are “no-go” theorems that prevent interactions in these higher spin theories. However, it appears that one can circumvent them by bringing in an infinite tower of higher spin fields. With this possibility in mind, we study herein the electric-magnetic duality invariance of hypergravity. The analysis is carried out in detail for the free theory of the spin-(2,5/2) multiplet, and it is indicated how it may be extended to the infinite tower of higher spins. Interactions are not considered. The procedure is the same that was employed recently for the spin-(3/2,2) multiplet of supergravity. One introduces new potentials (“prepotentials”) by solving the constraints of the Hamiltonian formulation. In terms of the prepotentials, the action is written in a form in which its electric-magnetic duality invariance is manifest. The prepotential action is local, but the spacetime invariance is not manifest. Just as for the spin-2 and spin-(3/2,2) cases, the gauge symmetries of the prepotential action take a form similar to those of the free conformal theory of the same multiplet. The automatic emergence of gauge conformal invariance, out of demand for manifest duality invariance, is yet more evidence of the subtle interplay between duality invariance and spacetime symmetry. We also compare and contrast the formulation with that of the analogous spin-(1,3/2) multiplet.

  • Received 18 June 2014

DOI:https://doi.org/10.1103/PhysRevD.90.045029

© 2014 American Physical Society

Erratum

Erratum: Supersymmetric electric-magnetic duality of hypergravity [Phys. Rev. D 90, 045029 (2014)]

Claudio Bunster, Marc Henneaux, Sergio Hörtner, and Amaury Leonard
Phys. Rev. D 95, 069908 (2017)

Authors & Affiliations

Claudio Bunster1,2, Marc Henneaux1,3, Sergio Hörtner3, and Amaury Leonard3

  • 1Centro de Estudios Científicos (CECs), Casilla 1469 Valdivia, Chile
  • 2Universidad Andrés Bello, Av. República 440 Santiago, Chile
  • 3Université Libre de Bruxelles and International Solvay Institutes, ULB-Campus Plaine CP231, B-1050 Brussels, Belgium

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Issue

Vol. 90, Iss. 4 — 15 August 2014

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