2011/03/14 by Arnaud Le Diffon, Henning Samtleben, Mario Trigiante · 4 citations
Mathematics · Physics and Astronomy · #Action (physics) #Black Holes and Theoretical Physics #Computer science #Cosmology and Gravitation Theories #Embedding #Gauge theory #Geometry #Local symmetry #Mathematical physics #Mathematics #Noncommutative and Quantum Gravity Theories #Physics #Pure mathematics #Quantum mechanics #Scaling #Supergravity #Supersymmetry #Symmetry (geometry) #Tensor (intrinsic definition) #Theoretical physics #hep-th
paper · pdf · doi:10.1007/jhep04(2011)079
39 pages
arxiv created 2011/03/14 · openalex publication_date 2011/04/01 · arxiv updated 2015/05/27 · openalex created_date 2016/06/24 · openalex updated_date 2026/08/05
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.