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

Masato Arai; Muneto Nitta

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

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arxiv hep-th/0602277 v4 pith:BGKWRXGV submitted 2006-02-27 hep-th math.DG

Masato Arai , Muneto Nitta This is my paper · ORCID

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keywords bundlesmodelssigmatangentconstructcotangentformalismframework

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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.

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On three-dimensional ${\cal N}=4$ supersymmetry: maximally supersymmetric backgrounds and massive deformations
hep-th 2025-04 conditional novelty 7.0 of 10

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.

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