D=3, N=8 conformal supergravity and the Dragon window
arXiv:1103.4530 · doi:10.1007/JHEP09(2011)101
Abstract
We give a superspace description of D=3, N=8 supergravity. The formulation is off-shell in the sense that the equations of motion are not implied by the superspace constraints (but an action principle is not given). The multiplet structure is unconventional, which we connect to the existence of a "Dragon window", that is modules occurring in the supercurvature but not in the supertorsion. According to Dragon's theorem this cannot happen above three dimensions. We clarify the relevance of this window for going on the conformal shell, and discuss some aspects of coupling to conformal matter.
plain tex, 24 pp v2: minor changes
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- N=6 conformal supergravity in three dimensions
- Half-maximal supergravity in three dimensions: supergeometry, differential forms and algebraic structure
- Loop amplitudes in maximal supergravity with manifest supersymmetry
- D=3, N=8 conformal supergravity and the Dragon window
- Forms and algebras in (half-)maximal supergravity theories
- Critical solutions in topologically gauged N=8 CFTs in three dimensions
- Coupling of the BLG theory to a conformal supergravity background
- Aspects of topologically gauged M2-branes with six supersymmetries: towards a "sequential AdS/CFT"?
- Anomalies and Supersymmetry
- Topics in 3D N=2 AdS supergravity in superspace
- Compactifications of String/M-Theory and the Swampland: A Study of the AdS Mass Spectrum of Eleven-Dimensional Supergravity on the Squashed Seven-Sphere