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 Q^{n-2} = SO(n)/[SO(n-2)\times U(1)]. We use the projective superspace framework, which is an off-shell formalism of N=2 supersymmetry.

33 pages, 1 figure, typos corrected, to appear in Nucl. Phys. B

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• Lectures on nonlinear sigma-models in projective superspace
• Hyperkahler sigma models on cotangent bundles of Hermitian symmetric spaces using projective superspace
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• New supersymmetric sigma-model duality
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• Highest Weight Generating functions for hyperKahler T*(G/H) spaces
• Walls in supersymmetric massive nonlinear sigma model on complex quadric surface
• Self-dual supersymmetric nonlinear sigma models
• Supersymmetry and Cotangent Bundle over Non-compact Exceptional Hermitian Symmetric Space
• Revisiting Atiyah-Hitchin manifold in the generalized Legendre transform