Geometrical Formulation of Supergravity Theories

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Profesor Guia
Salgado Arias, Patricio, director de tesis
Profesor Guia
Trigiante, Mario , director de tesis
Autor y otros
Concha Aguilera, Patrick Keissy
Fecha de carga del item
2016-05-18T17:58:25Z
Fecha de disponibilidad
2016-05-18T17:58:25Z
Fecha de publicacion
2015
Numero sistema Aleph
000222627
URI
http://repositorio.udec.cl/handle/11594/1876
Descripcion: corresponde a la nota de tesis
Doctor en Ciencias Físicas Universidad de Concepción 2015
Resumen
This thesis deals with a geometrical formulation of diverse Supergravity theories. In particular, the construction of Supergravity actions in four and three dimensions are considered in di erent frameworks with interesting physical implications. Before approaching supersymmetry, we brie y review some gravity theories in the Cartan formalism. The formalism used in the introductory chapter is crucial in order to understand the development of the present thesis. Some interesting results are presented in chapter 2 using the semigroup expansion method in the Chern-Simons (CS) and Born-Infeld (BI) gravity theories. Subsequently, a brief introduction of supersymmetry and some supergravity models are considered in chapter 3. Chapters 4, 5, 6 and 7 contain the main results of this thesis which are based on ve articles written during the cotutelle research process. Initially, we present a family of superalgebras using the semigroup expansion of the Anti-de Sitter superalgebra. In the MacDowell-Mansouri approach, we study the construction of diverse four-dimensional supergravity theories for di erent superalgebras. Interestingly, we show that the pure supergravity action can be obtained as a MacDowell-Mansouri like action using the Maxwell symmetries.Additionally, a generalized supersymmetric cosmological constant term can be included to a supergravity theory using a particular supersymmetry, called AdS-Lorentz. Furthermore, we present a supergravity model in three dimensions using the CS formalism and the Maxwell superalgebras. Subsequently, the thesis is focused on a supergravity model with partial breaking of N = 2 to N = 1 supersymmetry which, in the low energy limit, gives rise to a N = 1 supersymmetric theory. Eventually, the thesis ends with some comments about possible developments.
idioma
en
Materias
Geometría Diferencial.
Materias
Álgebras de Lie.
Materias
Relatividad General (Física)
Materias
Supergravedad
Titulo
Geometrical Formulation of Supergravity Theories
Tipo de documento
Thesis


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