The Gaugings of Maximal D=6 Supergravity

Abstract

We construct the most general gaugings of the maximal D=6 supergravity. The theory is (2,2) supersymmetric, and possesses an on-shell SO(5,5) duality symmetry which plays a key role in determining its couplings. The field content includes 16 vector fields that carry a chiral spinor representation of the duality group. We utilize the embedding tensor method which determines the appropriate combinations of these vectors that participate in gauging of a suitable subgroup of SO(5,5). The construction also introduces the magnetic duals of the 5 two-form potentials and 16 vector fields.

34 pages, latex, reference added, typo's corrected and minor improvements made

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• Supergravities without an Action: Gauging the Trombone
• Gauge Theories, Duality Relations and the Tensor Hierarchy
• The exceptional story of massive IIA supergravity
• Gauged supergravities in 5 and 6 dimensions from generalised Scherk-Schwarz reductions
• Exceptional generalised geometry for massive IIA and consistent reductions
• Multiple Membranes from Gauged Supergravity
• The tensor hierarchy algebra
• The E(11) origin of all maximal supergravities - the hierarchy of field-strengths
• Surface defects in the D4 $-$ D8 brane system
• Tensor hierarchies and Leibniz algebras
• Twin Supergravities
• On the Magical Supergravities in Six Dimensions
• Hidden Q-structure and Lie 3-algebra for non-abelian superconformal models in six dimensions
• Tensor Hierarchies of 5- and 6-Dimensional Field Theories
• Introductory Lectures on Extended Supergravities and Gaugings
• Supergravity and M-Theory
• A Note on E11 and Three-dimensional Gauged Supergravity
• Maximally Supersymmetric AdS Solutions and their Moduli Spaces
• 6D (1,1) Gauged Supergravities from Orientifold Compactifications
• Local E(11) and the gauging of the trombone symmetry
• Maximal D=2 supergravities from higher dimensions
• Bi-algebras, generalised geometry and T-duality
• The tensor hierarchy of 8-dimensional field theories
• Black holes in string theory with duality twists
• U-dualities in Type II string theories and M-theory
• Boosted Rotating Dyonic Strings in Salam-Sezgin Model
• Gauged Supergravities and the Physics of Extra Dimensions
• Space-filling branes & gaugings
• Generalized Cartan Calculus in general dimension
• The very-extended trombone
• Supersymmetric domain walls in maximal 6D gauged supergravity II
• Supersymmetric domain walls in maximal 6D gauged supergravity III
• Flux Backgrounds and Exceptional Generalised Geometry
• Holographic RG flows in N=4 SCFTs from half-maximal gauged supergravity