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

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dc.creatorDouglas, Michael R.
dc.creatorKarp, Robert L.
dc.creatorLukic, Sergio
dc.creatorReinbacher, Rene
dc.date2006-06-27
dc.date2006-07-18
dc.date.accessioned2026-07-07T11:27:32Z
dc.date.available2026-07-07T11:27:32Z
dc.descriptionWe 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.
dc.description25 pages, 2 figures
dc.identifierhttps://arxiv.org/abs/hep-th/0606261
dc.identifierhttp://arxiv.org/abs/hep-th/0606261
dc.identifierJHEP0712:083,2007
dc.identifierdoi:10.1088/1126-6708/2007/12/083
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/196172
dc.subjectHigh Energy Physics - Theory
dc.titleNumerical solution to the hermitian Yang-Mills equation on the Fermat quintic
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