Hyperkahler sigma models on cotangent bundles of Hermitian symmetric spaces using projective superspace
High Energy Physics - Theory
2010-10-27 v2
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.
Keywords
Cite
@article{arxiv.hep-th/0612174,
title = {Hyperkahler sigma models on cotangent bundles of Hermitian symmetric spaces using projective superspace},
author = {Masato Arai and Sergei M. Kuzenko and Ulf Lindstrom},
journal= {arXiv preprint arXiv:hep-th/0612174},
year = {2010}
}
Comments
47 pages, typos corrected, version accepted by JHEP