The paper classifies maximally supersymmetric 3D N=4 backgrounds and constructs massive deformations of N=4 theories on deformed Minkowski superspace, including a one-loop derivation of Chern-Simons terms.
Feynman Rules in N=2 Projective Superspace I: Massless hypermultiplets
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abstract
Manifestly N=2 supersymmetric Feynman rules are found for different off-shell realizations of the massless hypermultiplet in projective superspace. When we reduce the Feynman rules to an N=1 superspace we obtain the correct component propagators. The Feynman rules are shown to be compatible with a ``duality'' that acts only on the auxiliary fields, as well as with the usual duality relating the hypermultiplet to the tensor multiplet.
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On three-dimensional ${\cal N}=4$ supersymmetry: maximally supersymmetric backgrounds and massive deformations
The paper classifies maximally supersymmetric 3D N=4 backgrounds and constructs massive deformations of N=4 theories on deformed Minkowski superspace, including a one-loop derivation of Chern-Simons terms.