3 research outputs found
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
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.Comment: PhD thesis, 149 pages, 19 figure
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 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
Seminário de Dissertação (2024)
Página da disciplina de Seminário de Dissertação (MPPP, UFPE, 2022)
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