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Durham e-Theses
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A Study of Noncommutative Instantons

ISKAUSKAS, ANDREW (2015) A Study of Noncommutative Instantons. Doctoral thesis, Durham University.

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We consider the properties and behaviour of 2 U(2) noncommutative instantons: solutions of the NC-deformed ADHM equations which arise from U(2) 5d Yang-Mills
theory. The ADHM construction allows us to find all such solutions, which form a moduli space of allowed configurations. We derive the metric for such a space, and consider the dynamics of the instantons on this space using the Manton approximation. We examine the reduction of this system to lower-dimensional soliton theories, and finally consider the effect of adding a Higgs field to the SYM theory, resulting in a potential on the instanton moduli space.

Item Type:Thesis (Doctoral)
Award:Doctor of Philosophy
Keywords:Instantons, Noncommutative Geometry, Yang-Mills, Solitons
Faculty and Department:Faculty of Science > Mathematical Sciences, Department of
Thesis Date:2015
Copyright:Copyright of this thesis is held by the author
Deposited On:03 Jun 2015 10:43

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