E7(7) invariant Lagrangian of d=4 N=8 supergravity
arXiv:0911.5225 · doi:10.1007/JHEP04(2010)010
Abstract
We present an E7(7) invariant Lagrangian that leads to the equations of motion of d=4 N=8 supergravity without using Lagrange multipliers. The superinvariance of this new action and the closure of the supersymmetry algebra are proved explicitly for the terms that differ from the Cremmer--Julia formulation. Since the diffeomorphism symmetry is not realized in the standard way on the vector fields, we switch to the Hamiltonian formulation in order to prove the invariance of the E7(7) invariant action under general coordinate transformations. We also construct the conserved E7(7)-Noether current of maximal supergravity and we conclude with comments on the implications of this manifest off-shell E7(7)-symmetry for quantizing d=4 N=8 supergravity, in particular on the E7(7)-action on phase space.
45 pages, references added
References in corpus (9)
- Three-Loop Superfiniteness of N=8 Supergravity
- The maximal D=4 supergravities
- Ultraviolet properties of Maximal Supergravity
- Generalized E(7(7)) coset dynamics and D=11 supergravity
- Explicit Action of E7(7) on N=8 Supergravity Fields
- The footprint of E7 in amplitudes of N=8 supergravity
- E_7(7) on the Light Cone
- N=8 Supergravity 4-point Amplitudes
- E(7(7)) and d=11 supergravity
Cited by in corpus (28)
- Duality Invariance: From M-theory to Double Field Theory
- E7(7) symmetry in perturbatively quantised N=8 supergravity
- R^4 counterterm and E7(7) symmetry in maximal supergravity
- E{7(7)} Symmetry and Finiteness of N=8 Supergravity
- Counterterms vs. Dualities
- Covariant procedures for perturbative non-linear deformation of duality-invariant theories
- Loops in exceptional field theory
- Anomalies and divergences in N=4 supergravity
- Invariants and divergences in half-maximal supergravity theories
- Covariant actions for models with non-linear twisted self-duality
- Twisted Self-Duality for Linearized Gravity in D dimensions
- Freudenthal Gauge Theory
- On duality symmetry in perturbative quantum theory
- Can (Electric-Magnetic) Duality Be Gauged?
- Supersymmetric electric-magnetic duality as a manifest symmetry of the action for super-Maxwell theory and linearized supergravity
- Actions for Non-Abelian Twisted Self-Duality
- Supersymmetric electric-magnetic duality of hypergravity
- Iwasawa N=8 Attractors
- The Action with Manifest E7 Type Symmetry
- A Kaluza-Klein Approach to Double and Exceptional Field Theory
- Prepotentials for linearized supergravity
- Sp(2n,R) electric-magnetic duality as off-shell symmetry of interacting electromagnetic and scalar fields
- A note on "gaugings" in four spacetime dimensions and electric-magnetic duality
- The very-extended trombone
- Aspects of electric-magnetic dualities in maximal supergravity
- Deformation of d=4, N> 4 Supergravities Breaks Nonlinear Local Supersymmetry
- Perturbative and Non-Perturbative Aspects of N=8 Supergravity
- String Dualities and Gaugings of Supergravity