Off-shell superconformal nonlinear sigma-models in three dimensions

Physics – High Energy Physics – High Energy Physics - Theory

Scientific paper

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67 pages; V2: typos corrected, one reference added, version to appear on JHEP

Scientific paper

10.1007/JHEP01(2011)146

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.

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