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...
| Main Author: | |
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| Format: | Thesis (University of Nottingham only) |
| Language: | English |
| Published: |
2015
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| Online Access: | https://eprints.nottingham.ac.uk/28130/ |
| _version_ | 1848793514611048448 |
|---|---|
| author | Gomes Tavares, Sara Oriana |
| author_facet | Gomes Tavares, Sara Oriana |
| author_sort | Gomes Tavares, Sara Oriana |
| building | Nottingham Research Data Repository |
| collection | Online Access |
| 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. |
| first_indexed | 2025-11-14T19:01:31Z |
| format | Thesis (University of Nottingham only) |
| id | nottingham-28130 |
| institution | University of Nottingham Malaysia Campus |
| institution_category | Local University |
| language | English |
| last_indexed | 2025-11-14T19:01:31Z |
| publishDate | 2015 |
| recordtype | eprints |
| repository_type | Digital Repository |
| spelling | nottingham-281302025-02-28T11:33:08Z https://eprints.nottingham.ac.uk/28130/ Spin state sum models in two dimensions Gomes Tavares, Sara Oriana 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. 2015-07-15 Thesis (University of Nottingham only) NonPeerReviewed application/pdf en arr https://eprints.nottingham.ac.uk/28130/1/tavares_e_thesis.pdf Gomes Tavares, Sara Oriana (2015) Spin state sum models in two dimensions. PhD thesis, University of Nottingham. |
| spellingShingle | Gomes Tavares, Sara Oriana Spin state sum models in two dimensions |
| title | 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_short | Spin state sum models in two dimensions |
| title_sort | spin state sum models in two dimensions |
| url | https://eprints.nottingham.ac.uk/28130/ |