N=8 Supergravity with Local Scaling Symmetry

Abstract

We construct maximal supergravity in four dimensions with local scaling symmetry as deformation of the original Cremmer-Julia theory. The different theories which include the standard gaugings are parametrized by an embedding tensor carrying 56+912 parameters. We determine the form of the possible gauge groups and work out the complete set of field equations. As a result we obtain the most general couplings compatible with N=8 supersymmetry in four dimensions. A particular feature of these theories is the absence of an action and an additional positive contribution to the effective cosmological constant. Moreover, these gaugings are generically dyonic, i.e. involve simultaneously electric and magnetic vector fields.

39 pages

References in corpus (16)

• The Ultraviolet Behavior of N=8 Supergravity at Four Loops
• A field-theory motivated approach to symbolic computer algebra
• The maximal D=4 supergravities
• The E_{11} origin of all maximal supergravities
• E7(7) constraints on counterterms in N=8 supergravity
• E(11) and the Embedding Tensor
• Stringy KLT relations, global symmetries, and E_7(7) violation
• Supergravities without an Action: Gauging the Trombone
• E7(7) symmetry in perturbatively quantised N=8 supergravity
• R^4 counterterm and E7(7) symmetry in maximal supergravity
• The footprint of E7 in amplitudes of N=8 supergravity
• Gauging hidden symmetries in two dimensions
• Can (Electric-Magnetic) Duality Be Gauged?
• Local E(11) and the gauging of the trombone symmetry
• No local Maxwell duality invariance
• The very-extended trombone

Cited by in corpus (36)

• Consistent Kaluza-Klein Truncations via Exceptional Field Theory
• Duality orbits of non-geometric fluxes
• Extended geometry and gauged maximal supergravity
• Gauged Supergravities
• On the vacua of N = 8 gauged supergravity in 4 dimensions
• All G_2 invariant critical points of maximal supergravity
• The exceptional story of massive IIA supergravity
• The N>2 supersymmetric AdS vacua in maximal supergravity
• The SU(3)-invariant sector of new maximal supergravity
• Generalised Scherk-Schwarz reductions from gauged supergravity
• Triality, Periodicity and Stability of SO(8) Gauged Supergravity
• Supergravity as Generalised Geometry II: $E_{d(d)}\times {\mathbb{R}}^{+}$ and M theory
• On new maximal supergravity and its BPS domain-walls
• Exceptional Flux Compactifications
• Non-Riemannian geometry of M-theory
• Double Field Theory at SL(2) angles
• Brane-jet stability of non-supersymmetric AdS vacua
• On the exceptional generalised Lie derivative for $d\ge 7$
• Introductory Lectures on Extended Supergravities and Gaugings
• Exotic Branes in Exceptional Field Theory: $E_{7(7)}$ and Beyond
• Quantum corrections to broken N = 8 supergravity
• Lobotomy of Flux Compactifications
• Minimal Stability in Maximal Supergravity
• Supersymmetric spectroscopy on AdS${}_4\times S^7$ and AdS${}_4\times S^6$
• Classification and stability of vacua in maximal gauged supergravity
• Critical points of maximal D=8 gauged supergravities
• Maximal D=2 supergravities from higher dimensions
• Vacua Analysis in Extended Supersymmetry Compactifications
• Positive mass theorem in extended supergravities
• Jacobi-Lie T-plurality
• Gauged Supergravities and the Physics of Extra Dimensions
• Inflation in maximal gauged supergravities
• Electric and magnetic aspects of gravitational theories
• String Dualities and Gaugings of Supergravity
• Gaugings and other aspects in supergravity
• Exotic Aspects of Extended Field Theories