Hyper-Kahler Sigma Models on (Co)tangent Bundles with SO(n) isometry

Abstract

We construct N=2 supersymmetric nonlinear sigma models whose target spaces are tangent as well as cotangent bundles over the quadric surface Qn-2 = SO(n)/[SO(n-2)× U(1)]. We use the projective superspace framework, which is an off-shell formalism of N=2 supersymmetry.

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