Construction of Supersymmetric Nonlinear Sigma Models on Noncompact Calabi-Yau Manifolds with Isometry
High Energy Physics - Theory
2007-05-23 v1 General Relativity and Quantum Cosmology
Mathematical Physics
math.MP
Abstract
We propose a class of N=2 supersymmetric nonlinear sigma models on the noncompact Ricci-flat Kahler manifolds, interpreted as the complex line bundles over the hermitian symmetric spaces. Kahler potentials and Ricci-flat metrics for these manifolds with isometries are explicitly constructed by using the techniques of supersymmetric gauge theories. Each of the metrics contains a resolution parameter which controls the size of these base manifolds, and the conical singularity appears when the parameter vanishes.
Keywords
Cite
@article{arxiv.hep-th/0210034,
title = {Construction of Supersymmetric Nonlinear Sigma Models on Noncompact Calabi-Yau Manifolds with Isometry},
author = {Kiyoshi Higashijima and Tetsuji Kimura and Muneto Nitta},
journal= {arXiv preprint arXiv:hep-th/0210034},
year = {2007}
}
Comments
LaTeX2e, using espcrc2.sty, 3 pages, no figures, Talk given at the 31st International Conference on High Energy Physics (ICHEP 2002), Amsterdam, The Netherlands, 24-31 July 2002