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Pre-symplectic structures on the space of connections

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 نشر من قبل Toshiaki Kori
 تاريخ النشر 2013
  مجال البحث فيزياء
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 تأليف Tosiaki Kori




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Let X be a four-manifold with boundary three manifold M. We shall describe (i) a pre-symplectic structure on the space of connections of the trivial SU(n)-bundle over X that comes from the canonical symplectic structure on the cotangent bundle of the connection space, and (ii) a pre-symplectic structure on the space of flat connections of the trivial SU(n)-bundle over M that have null charge. These two structures are related by the boundary restriction map. We discuss also the Hamiltonian feature of the space of connections with the action of the group of gauge transformations.



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