D = 3, N = 8 conformal supergravity and the Dragon window
Abstract
We give a superspace description of D = 3, N = 8 supergravity. The formulation is offshell 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.
 Publication:

Journal of High Energy Physics
 Pub Date:
 September 2011
 DOI:
 10.1007/JHEP09(2011)101
 arXiv:
 arXiv:1103.4530
 Bibcode:
 2011JHEP...09..101C
 Keywords:

 Extended Supersymmetry;
 Supergravity Models;
 Conformal and W Symmetry;
 High Energy Physics  Theory
 EPrint:
 plain tex, 24 pp v2: minor changes