D=3, N=8 conformal supergravity and the Dragon window

Understand

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.