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Hyperkahler sigma models on cotangent bundles of Hermitian symmetric spaces using projective superspace

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arxiv hep-th/0612174 v2 pith:JVYUTEQQ submitted 2006-12-16 hep-th

classification hep-th
keywords bundlescotangenthyperkahlerkahlersymmetrichermitianmanifoldsmodels
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Kahler manifolds have a natural hyperkahler structure associated with (part of) their cotangent bundles. Using projective superspace, we construct four-dimensional N = 2 models on the tangent bundles of some classical Hermitian symmetric spaces (specifically, the four regular series of irreducible compact symmetric Kahler manifolds, and their non-compact versions). A further dualization yields the Kahler potential for the hyperkahler metric on the cotangent bundle.

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Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score. Full citation record

  1. 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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