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arXiv · hep-th/0612174

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

Masato Arai·Sergei M. Kuzenko·Ulf Lindstrom
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Abstract

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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Masato Arai, Sergei M. Kuzenko, Ulf Lindstrom. 2007-02-26. Hyperkahler sigma models on cotangent bundles of Hermitian symmetric spaces using projective superspace. https://doi.org/10.1088/1126-6708%2F2007%2F02%2F100

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