Spin state sum models in two dimensions

by Gomes Tavares, Sara Oriana

Type Thesis
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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…

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Summary

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.

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Edition Statements

  • Publication Date:2015

Thesis Information

  • Degree:Ph.D.
  • University:University of Nottingham

Publication Statements

  • Language:eng
  • Publication Date:2015

Edition Identifiers

  • ethos:674819

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