Spin state sum models in two dimensions

Spin state sum models in two dimensions

We propose a new type of state sum model for two-dimensional surfaces that takes into account topology and spin. The definition used - new to the literature - provides a rich class of extended models called spin models. Both examples and general properties are studied. Most prominently, we find this...

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Bibliographic Details
Main Author: Gomes Tavares, Sara Oriana
Published: University of Nottingham 2015
Subjects:
514
QA611 Topology
Online Access:http://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.674819
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spelling ndltd-bl.uk-oai-ethos.bl.uk-6748192017-06-27T03:18:18ZSpin state sum models in two dimensionsGomes Tavares, Sara Oriana2015We propose a new type of state sum model for two-dimensional surfaces that takes into account topology and spin. The definition used - new to the literature - provides a rich class of extended models called spin models. Both examples and general properties are studied. Most prominently, we find this type of model can depend on a surface spin structure through parity alone and we explore explicit cases that feature this behaviour. Further directions for the two dimensional world are analysed: we introduce a source of new information - defects - and show how they can enlarge the class of spin models available.514QA611 TopologyUniversity of Nottinghamhttp://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.674819http://eprints.nottingham.ac.uk/28130/Electronic Thesis or Dissertation
collection NDLTD
sources NDLTD
topic 514
QA611 Topology
spellingShingle 514
QA611 Topology
Gomes Tavares, Sara Oriana
Spin state sum models in two dimensions
description We propose a new type of state sum model for two-dimensional surfaces that takes into account topology and spin. The definition used - new to the literature - provides a rich class of extended models called spin models. Both examples and general properties are studied. Most prominently, we find this type of model can depend on a surface spin structure through parity alone and we explore explicit cases that feature this behaviour. Further directions for the two dimensional world are analysed: we introduce a source of new information - defects - and show how they can enlarge the class of spin models available.
author Gomes Tavares, Sara Oriana
author_facet Gomes Tavares, Sara Oriana
author_sort Gomes Tavares, Sara Oriana
title Spin state sum models in two dimensions
title_short Spin state sum models in two dimensions
title_full Spin state sum models in two dimensions
title_fullStr Spin state sum models in two dimensions
title_full_unstemmed Spin state sum models in two dimensions
title_sort spin state sum models in two dimensions
publisher University of Nottingham
publishDate 2015
url http://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.674819
work_keys_str_mv AT gomestavaressaraoriana spinstatesummodelsintwodimensions
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