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

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

2011-03-23

arxiv.org/abs/1103.4530v3

JHEP 1109:101,2011

Physics

High Energy Physics

High Energy Physics - Theory

plain tex, 24 pp v2: minor changes

Scientific paper

10.1007/JHEP09(2011)101

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.

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