Numerical solution to the hermitian Yang-Mills equation on the Fermat quintic
High Energy Physics - Theory
2008-11-26 v2
Abstract
We develop an iterative method for finding solutions to the hermitian Yang-Mills equation on stable holomorphic vector bundles, following ideas recently developed by Donaldson. As illustrations, we construct numerically the hermitian Einstein metrics on the tangent bundle and a rank three vector bundle on P^2. In addition, we find a hermitian Yang-Mills connection on a stable rank three vector bundle on the Fermat quintic.
Keywords
Cite
@article{arxiv.hep-th/0606261,
title = {Numerical solution to the hermitian Yang-Mills equation on the Fermat quintic},
author = {Michael R. Douglas and Robert L. Karp and Sergio Lukic and Rene Reinbacher},
journal= {arXiv preprint arXiv:hep-th/0606261},
year = {2008}
}
Comments
25 pages, 2 figures