Non-compact Calabi-Yau Metrics from Nonlinear Realizations
High Energy Physics - Theory
2007-05-23 v1 Differential Geometry
Abstract
We give a method to construct Calabi-Yau metrics on G-invariant vector bundles over Kahler coset spaces G/H using supersymmetric nonlinear realizations with matter coupling. As a concrete example we discuss the CP^N model coupled with matter. The canonical line bundle is reproduced by the singlet matter and the cotangent bundle with a new non-compact Calabi-Yau metric which is not hyper-Kahler is obtained by the anti-fundamental matter.
Keywords
Cite
@article{arxiv.hep-th/0309004,
title = {Non-compact Calabi-Yau Metrics from Nonlinear Realizations},
author = {Muneto Nitta},
journal= {arXiv preprint arXiv:hep-th/0309004},
year = {2007}
}
Comments
18 pages, one figure