Numerical solution to the hermitian Yang-Mills equation on the Fermat quintic

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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.
25 pages, 2 figures

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High Energy Physics - Theory

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http://salesiana.dossiersoluciones.com/handle/123456789/196172

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/hep-th/0606261
 http://arxiv.org/abs/hep-th/0606261
 JHEP0712:083,2007
 doi:10.1088/1126-6708/2007/12/083

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arXiv