Off-shell superconformal nonlinear sigma-models in three dimensions
High Energy Physics - Theory
2011-02-01 v2
Abstract
We develop superspace techniques to construct general off-shell N=1,2,3,4 superconformal sigma-models in three space-time dimensions. The most general N=3 and N=4 superconformal sigma-models are constructed in terms of N=2 chiral superfields. Several superspace proofs of the folklore statement that N=3 supersymmetry implies N=4 are presented both in the on-shell and off-shell settings. We also elaborate on (super)twistor realisations for (super)manifolds on which the three-dimensional N-extended superconformal groups act transitively and which include Minkowski space as a subspace.
Cite
@article{arxiv.1011.5727,
title = {Off-shell superconformal nonlinear sigma-models in three dimensions},
author = {Sergei M. Kuzenko and Jeong-Hyuck Park and Gabriele Tartaglino-Mazzucchelli and Rikard von Unge},
journal= {arXiv preprint arXiv:1011.5727},
year = {2011}
}
Comments
67 pages; V2: typos corrected, one reference added, version to appear on JHEP