E${}_8$ in $\mathcal{N}=8$ supergravity in four dimensions

Abstract

We argue that $\mathcal{N}=8$ supergravity in four dimensions exhibits an exceptional $E_{8(8)}$ symmetry, enhanced from the known $E_{7(7)}$ invariance. Our procedure to demonstrate this involves dimensional reduction of the $\mathcal{N}=8$ theory to $d=3$, a field redefinition to render the $E_{8(8)}$ invariance manifest, followed by dimensional oxidation back to $d=4$.

14 pages

References in corpus (6)

• KLT relations from the Einstein-Hilbert Lagrangian
• The N=8 Supergravity Hamiltonian as a Quadratic Form
• Proof of ultra-violet finiteness for a planar non-supersymmetric Yang-Mills theory
• E8(8) in Light Cone Superspace
• Counterterms in Gravity in the Light-Front Formulation and a D=2 Conformal-like Symmetry in Gravity
• Exceptional versus superPoincaré algebra as the defining symmetry of maximal supergravity

Cited by in corpus (10)

• Electromagnetic Duality and D3-Brane Scattering Amplitudes Beyond Leading Order
• BMS algebra from residual gauge invariance in light-cone gravity
• Irreducible representations of E theory
• Higher spins, quadratic forms and amplitudes
• A hidden symmetry in quantum gravity
• Ehlers symmetry in four dimensions
• Aspects of electric-magnetic dualities in maximal supergravity
• Maximal supergravity and the quest for finiteness
• From Binary Error Correcting Codes to a Relation Between Maximal D=4 and D=3 Supergravities
• Exceptional symmetries in light-cone superspace