Spin state sum models in two dimensions

Gomes Tavares, Sara Oriana (2015) Spin state sum models in two dimensions. PhD thesis, University of Nottingham.

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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 introduce a source of new information - defects - and show how they can enlarge the class of spin models available.

Item Type: Thesis (University of Nottingham only) (PhD)
Supervisors: Barrett, J.W.
Subjects: Q Science > QA Mathematics > QA611 Topology
Faculties/Schools: UK Campuses > Faculty of Science > School of Mathematical Sciences
Item ID: 28130
Depositing User: Tavares, Sara
Date Deposited: 19 Nov 2015 09:29
Last Modified: 13 Sep 2016 21:55
URI: http://eprints.nottingham.ac.uk/id/eprint/28130

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