Some geometric aspects of non-linear sigma models

• Ano de defesa: 2016
• Autor(a) principal: Ferro, Dennis Eduardo Zavaleta [UNESP]
• Tipo de documento: Dissertação
• Tipo de acesso: Acesso aberto
• Idioma: eng
• Instituição de defesa: Universidade Estadual Paulista (Unesp)
• Palavras-chave em Português: String theory; WZW model; Strings on AdS; Coset superspaces; Teoria de cordas; Modelo WZW; Cordas em AdS; Superpaços coset
• Link de acesso: http://hdl.handle.net/11449/151647

We review some relevant examples for String Theory of non-linear sigma models. These are bosonic strings propagating in curved background, the Wess-Zumino-Witten model and superstrings in flat and AdS superspace. The mathematical tools required for the study of these models (e.g. topological quantization, Cartan geometry, Lie superalgebras and geometry on coset spaces) are also described. Throughout the dissertation we have focused on classical aspects of these models such as the construction of the action and its symmetries where conditions for holomorphic symmetry of the bosonic string case were found.