N=2 Nonlinear Sigma Models in N=1 Superspace: Four and Five Dimensions

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We formulate four-dimensional N=2 supersymmetric nonlinear sigma models in N=1 superspace. We show how to add superpotentials consistent with N=2 supersymmetry. We lift our construction to higher-dimensional spacetime and write five-dimensional nonlinear sigma models in N=1 superspace.
11 pages. References added

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