Off-shell superconformal nonlinear sigma-models in three dimensions

doi:10.1007/JHEP01(2011)146

Off-shell superconformal nonlinear sigma-models in three dimensions

2011-01-31

35

OA

AI

Gabriele Tartaglino‐Mazzucchelli

R

Rikard von Unge

DOI：10.1007/JHEP01(2011)146

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Abstract

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We develop superspace techniques to construct general off-shell N <= 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.

Keywords:

Extended Supersymmetry

Superspaces

Supersymmetric Effective Theories

Off-shell superconformal nonlinear sigma-models in three dimensions

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