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1	O dílaton em teorias quiver de hierarquia completa / The dilaton in full hierarchy quiver theories Cano, Victor Manuel Peralta 04 June 2012 (has links) O Modelo Padrão das partículas elementares descreve com sucesso as interações eletrofracas e fortes da natureza, quando comparado com todos os dados experimentais que temos ate hoje. Porém, ele apresenta problemas relacionados a origem da quebra da simetria eletrofraca assim como da hierarquia das massas dos fermions. A solução de ambos esses problemas requer a geração de grandes hierarquias estáveis. Essas hierarquias podem ser obtidas em uma classe de teorias quadridimensionais chamadas de teorias quiver de hierarquia completa, que são relacionadas a teorias de dimensões extras em AdS no limite de grande número de sítios. Mostramos que, assim como em teorias de dimensões extras curvas, existe um grau de liberdade leve associado com a quebra da invariância de escala, que pode ser identicado com um dílaton. Partindo da teoria extra-dimensional em um fundo, mostramos como esse dílaton leve também pode ser obtido em teorias quiver de hierarquia completa. / The standard model of particle physics successfuly describes the electroweak and strong interactions when compared with all the experimental data we have until now. However, it has problems regarding the origin of electroweak symmetry breaking as well as the hierarchy of fermion masses. The solutions of both these problems require the generation of large stable hierarchies. These can be obtained in a class of four-dimensional quiver theories called full-hierarchy quiver theories, which are related to extra dimensional theories in AdS, in the large-number-ofsites limit. We show that, just as in curved extra dimensional theories, there is a light degree of freedom associated with the breaking of scale invariance, which can be identied with a dilaton. Starting from an extra dimensional theory in an AdS5 background, we show how this light dilaton can be obtained in full-hierarchy quiver theories as well. dilaton dílaton electroweak symmetry breaking full-hierarchy quiver theories quebra de simetria eletrofraca teorias quiver de hierarquia completa
2	O dílaton em teorias quiver de hierarquia completa / The dilaton in full hierarchy quiver theories Victor Manuel Peralta Cano 04 June 2012 (has links) O Modelo Padrão das partículas elementares descreve com sucesso as interações eletrofracas e fortes da natureza, quando comparado com todos os dados experimentais que temos ate hoje. Porém, ele apresenta problemas relacionados a origem da quebra da simetria eletrofraca assim como da hierarquia das massas dos fermions. A solução de ambos esses problemas requer a geração de grandes hierarquias estáveis. Essas hierarquias podem ser obtidas em uma classe de teorias quadridimensionais chamadas de teorias quiver de hierarquia completa, que são relacionadas a teorias de dimensões extras em AdS no limite de grande número de sítios. Mostramos que, assim como em teorias de dimensões extras curvas, existe um grau de liberdade leve associado com a quebra da invariância de escala, que pode ser identicado com um dílaton. Partindo da teoria extra-dimensional em um fundo, mostramos como esse dílaton leve também pode ser obtido em teorias quiver de hierarquia completa. / The standard model of particle physics successfuly describes the electroweak and strong interactions when compared with all the experimental data we have until now. However, it has problems regarding the origin of electroweak symmetry breaking as well as the hierarchy of fermion masses. The solutions of both these problems require the generation of large stable hierarchies. These can be obtained in a class of four-dimensional quiver theories called full-hierarchy quiver theories, which are related to extra dimensional theories in AdS, in the large-number-ofsites limit. We show that, just as in curved extra dimensional theories, there is a light degree of freedom associated with the breaking of scale invariance, which can be identied with a dilaton. Starting from an extra dimensional theory in an AdS5 background, we show how this light dilaton can be obtained in full-hierarchy quiver theories as well. dílaton quebra de simetria eletrofraca teorias quiver de hierarquia completa dilaton electroweak symmetry breaking full-hierarchy quiver theories
3	Integrable deformations in 2D dilaton gravity models / 可積分変形に基づいた2次元ディラトン重力模型の研究 Okumura, Suguru 23 March 2021 (has links) 京都大学 / 新制・課程博士 / 博士(理学) / 甲第22994号 / 理博第4671号 / 新制\|\|理\|\|1670(附属図書館) / 京都大学大学院理学研究科物理学・宇宙物理学専攻 / (主査)教授畑浩之, 教授川合光, 教授田中貴浩 / 学位規則第4条第1項該当 / Doctor of Science / Kyoto University / DFAM Integrable deformation 2D dilaton gravity TTbar-deformations Yng-Baxter deformations 400
4	Quantum gravity in two- and three-dimensional dS spaces Chernichenko, Alexsey January 2024 (has links) This thesis is a study of certain aspects of quantum gravity in two- and three-dimensional de Sitter spaces. The model used in dS2 is the Jackiw- Tetitelboim gravity which involves a scalar coupling. At low-energy limit this model becomes Schwarzian theory for which one can compute one-loop partition function. Along the way, the model is recasted into the first order formalism which helps to find an appropriate measure for the partition function. The layout for quantum gravity in dS3 is practically the same and many results appear to be quite similar. Although, there are as many dissimilarities. Ultimately, the goal is different, namely to determine one-loop correction to the central charge of the theory dual to dS3 . Additionally, a putative genus expansion for Jackiw-Teitelboim gravity is investigated along with some concrete computations being done. / Detta examensarbete ̈ar en studie av vissa aspekter av kvantgravita-tion i två och tredimensionella de Sitter-rummen. Den behandlar Jackiw-Teitelboim gravitation i dS2 , en model med en skalär koppling. Vid lågenergigränns blir modellen till Schwarzian teorin som används för att beräkna första ordningskorrektionen till partitionsfunktion. På vägen dit skrivs om modelen till första ordningens formalism som sedan hjälper att hitta ett lämpligt mått för partitionsfunktionen. Plannen för dS3 ser ut i princip likadant och en stor del av resultater är liknande. Emellertid finns det lika många olikheter. I slut änden, målet är annorludna, nämligen att beräkna första ordningens korrektion till centrala laddningen av teorin som dual till dS3 . Dessutom, en förmodad genus expansion för Jackiw-Teitelboim gravitation är undersökt och vissa konkreta beräkningar är gjorda. Gravity Quantum gravity de Sitter space Jackiw-Teitelboim gravity Hartle-Hawking wavefunction of the Universe Wheeler-DeWitt equation Gravitational path integral Partition function Dilaton Gibbons-Hawking-York term Schwarzian theory Flat connections Space of flat connections Symplectic form Symplectic measure Holonomy Monodromy Genus expansion Weil-Peterson volumes Mirzakhani's recursion formula Central charge Chern-Simons theory Wess-Zumino-Witten model Natural Sciences Naturvetenskap Physical Sciences Fysik

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