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

Physics – High Energy Physics – High Energy Physics - Theory

Scientific paper

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47 pages, typos corrected, version accepted by JHEP

Scientific paper

10.1088/1126-6708/2007/02/100

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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