The dual graviton in duality covariant theories

Abstract

We review (and elaborate on) the `dual graviton problem' in the context of duality covariant formulations of M-theory (exceptional field theories). These theories require fields that are interpreted as components of the dual graviton in order to build complete multiplets under the exceptional groups E${}_{d(d)}$, $d=2,\dots ,9$. Circumventing no-go arguments, consistent theories for such fields have been constructed by incorporating additional covariant compensator fields. The latter fields are needed for gauge invariance but also for on-shell equivalence with $D=11$ and type IIB supergravity. Moreover, these fields play a non-trivial role in generalized Scherk-Schwarz compactifications, as for instance in consistent Kaluza-Klein truncation on AdS${}_4\times {\mathrm{S}}^7$.

24 pages, prepared for Frontiers special collection "Electric-Magnetic Duality in Gravitational Theories", v2: withdrawn from Frontiers, version published in Fortschritte der Physik

References in corpus (8)

• The maximal D=4 supergravities
• Consistent Kaluza-Klein Truncations via Exceptional Field Theory
• Supersymmetric E${}_{7(7)}$ Exceptional Field Theory
• Gauge Theories, Duality Relations and the Tensor Hierarchy
• Dual Double Field Theory
• E${}_{8(8)}$ Exceptional Field Theory: Geometry, Fermions and Supersymmetry
• O(d+1,d+1) enhanced double field theory
• Exotic Dual of Type II Double Field Theory

Cited by in corpus (4)

• The Geometry, Branes and Applications of Exceptional Field Theory
• Non-Riemannian geometry of M-theory
• Exotic potentials and Bianchi identities in SL(5) exceptional field theory
• Duality Anomalies in Linearized Gravity