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Instantons on the exceptional holonomy manifolds of Bryant and Salamon

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 نشر من قبل Andrew Clarke
 تاريخ النشر 2013
  مجال البحث فيزياء
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 تأليف Andrew Clarke




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We give a construction of $G_2$ and $Spin(7)$ instantons on exceptional holonomy manifolds constructed by Bryant and Salamon, by using an ansatz of spherical symmetry coming from the manifolds being the total spaces of rank-4 vector bundles. In the $G_2$ case, we show that, in the asymptotically conical model, the connections are asymptotic to Hermitian Yang-Mills connections on the nearly Kahler $S^3times S^3$.



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