A study of noncommutative instantons

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...

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Main Author: Iskauskas, Andrew
Published: Durham University 2015
Subjects:
510
Online Access:http://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.650201
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spelling ndltd-bl.uk-oai-ethos.bl.uk-6502012016-08-04T03:45:33ZA study of noncommutative instantonsIskauskas, Andrew2015We 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.510Durham Universityhttp://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.650201http://etheses.dur.ac.uk/11106/Electronic Thesis or Dissertation
collection NDLTD
sources NDLTD
topic 510
spellingShingle 510
Iskauskas, Andrew
A study of noncommutative instantons
description 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.
author Iskauskas, Andrew
author_facet Iskauskas, Andrew
author_sort Iskauskas, Andrew
title A study of noncommutative instantons
title_short A study of noncommutative instantons
title_full A study of noncommutative instantons
title_fullStr A study of noncommutative instantons
title_full_unstemmed A study of noncommutative instantons
title_sort study of noncommutative instantons
publisher Durham University
publishDate 2015
url http://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.650201
work_keys_str_mv AT iskauskasandrew astudyofnoncommutativeinstantons
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