Momentum conserving defects in affine Toda field theory

Momentum conserving defects in affine Toda field theory

This thesis expands previous work on defects appearing in classical integrable field theories, with a generalised form for momentum conserving defects being found. It is shown that the defect equations can always be augmented to give a Bäcklund transformation for the bulk theory, and new momentum co...

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Main Author: Bristow, Rebecca Helen
Published: Durham University 2018
Subjects:
510
Online Access:https://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.738593
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spelling ndltd-bl.uk-oai-ethos.bl.uk-7385932019-03-05T15:37:16ZMomentum conserving defects in affine Toda field theoryBristow, Rebecca Helen2018This thesis expands previous work on defects appearing in classical integrable field theories, with a generalised form for momentum conserving defects being found. It is shown that the defect equations can always be augmented to give a Bäcklund transformation for the bulk theory, and new momentum conserving defects are found for the Br and Dr ATFTs. Momentum conservation is shown to be a necessary condition if the system is to have an infinite number of conserved quantities for all defects in ATFTs. The D4 defect in particular is investigated, with the system shown to have a zero curvature representation and soliton-defect interactions being investigated.510Durham Universityhttps://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.738593http://etheses.dur.ac.uk/12488/Electronic Thesis or Dissertation
collection NDLTD
sources NDLTD
topic 510
spellingShingle 510
Bristow, Rebecca Helen
Momentum conserving defects in affine Toda field theory
description This thesis expands previous work on defects appearing in classical integrable field theories, with a generalised form for momentum conserving defects being found. It is shown that the defect equations can always be augmented to give a Bäcklund transformation for the bulk theory, and new momentum conserving defects are found for the Br and Dr ATFTs. Momentum conservation is shown to be a necessary condition if the system is to have an infinite number of conserved quantities for all defects in ATFTs. The D4 defect in particular is investigated, with the system shown to have a zero curvature representation and soliton-defect interactions being investigated.
author Bristow, Rebecca Helen
author_facet Bristow, Rebecca Helen
author_sort Bristow, Rebecca Helen
title Momentum conserving defects in affine Toda field theory
title_short Momentum conserving defects in affine Toda field theory
title_full Momentum conserving defects in affine Toda field theory
title_fullStr Momentum conserving defects in affine Toda field theory
title_full_unstemmed Momentum conserving defects in affine Toda field theory
title_sort momentum conserving defects in affine toda field theory
publisher Durham University
publishDate 2018
url https://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.738593
work_keys_str_mv AT bristowrebeccahelen momentumconservingdefectsinaffinetodafieldtheory
_version_ 1718994893052837888

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