English

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

High Energy Physics - Theory 2011-09-28 v3

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.

Keywords

Cite

@article{arxiv.1103.4530,
  title  = {D=3, N=8 conformal supergravity and the Dragon window},
  author = {Martin Cederwall and Ulf Gran and Bengt E. W. Nilsson},
  journal= {arXiv preprint arXiv:1103.4530},
  year   = {2011}
}

Comments

plain tex, 24 pp v2: minor changes

R2 v1 2026-06-21T17:43:29.559Z