On integrable deformations of semi-symmetric space sigma-models

• Ano de defesa: 2018
• Autor(a) principal: Huamán, René Negrón
• Tipo de documento: Tese
• Tipo de acesso: Acesso aberto
• Idioma: eng
• Instituição de defesa: Biblioteca Digitais de Teses e Dissertações da USP
• Palavras-chave em Português: Deformações integráveis; Equação de Yang Baxter; Hybrid sigma model.; Integrabilidade; Integrability; Integrable deformations; Matriz R; Modelo sigma híbrido.; R-matrix; Supercordas; Supergravidade; Supergravity; Superstrings; Yang Baxter equation
• Link de acesso: http://www.teses.usp.br/teses/disponiveis/43/43134/tde-06112018-011344/

In this thesis we review some aspects of Yang-Baxter deformations of semi-symmetric space sigma models. We start by giving a short review of the sigma model description of superstrings and then we offer a self contained introduction to the Yang-Baxter deformation technique. We then show how to obtain an integrable deformation of the hybrid sigma model. Also, we show that the gravity dual of beta-deformed ABJM theory can be obtained as a Yang-Baxter deformation. This is done by selecting a convenient combination of Cartan generators in order to construct an Abelian r-matrix satisfying the classical Yang-Baxter equation.