D=3, N=8 conformal supergravity and the Dragon window
Martin Cederwall, Ulf Gran, Bengt E.W. Nilsson
TL;DR
This paper presents a superspace formulation of three-dimensional, N=8 supergravity highlighting a unique 'Dragon window' phenomenon that affects the multiplet structure and conformal coupling.
Contribution
It introduces an off-shell superspace description of D=3, N=8 supergravity and explores the novel 'Dragon window' in the supercurvature structure.
Findings
Identification of the 'Dragon window' in supercurvature modules
Clarification of the role of the 'Dragon window' in conformal supergravity
Discussion on coupling to conformal matter in this framework
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.
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