Superfield actions for N=8 and N=6 conformal theories in three dimensions

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The manifestly supersymmetric pure spinor formulations of the Bagger-Lambert-Gustavsson models with N=8 supersymmetry and the Aharony-Bergman-Jafferis-Maldacena models with N=6 supersymmetry are given. The structures of the pure spinors are investigated in both cases, and non-degenerate measures are formed using non-minimal sets of variables, allowing for the formulation of an action principle.
12 pp., plain tex. v2: references added, typos in eqs. 14 and 15 corrected. v3: refs. added

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