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

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.

47 pages, typos corrected, version accepted by JHEP

References in corpus (2)

• Hyper-Kahler Sigma Models on (Co)tangent Bundles with SO(n) isometry
• On superpotentials for nonlinear sigma-models with eight supercharges

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