Killing Spinors -- Beyond Supergravity
Alberto Palomo-Lozano

TL;DR
This thesis explores advanced techniques involving Killing spinors to classify supersymmetric solutions in supergravity and applies these methods to broader geometric and physical contexts beyond traditional supergravity frameworks.
Contribution
It introduces new methods for using Killing spinors to find solutions in Einstein-Maxwell-De Sitter theories and classifies Lorentzian Einstein-Weyl manifolds, extending their applications beyond supergravity.
Findings
Solutions to Einstein-Maxwell-De Sitter theories obtained.
Partial classification of Lorentzian Einstein-Weyl manifolds achieved.
New geometric techniques for analyzing supersymmetric backgrounds introduced.
Abstract
This is a doctoral thesis on the application of techniques originally developed in the programme of characterisation of supersymmetric solutions to Supergravity theories, to finding alternative backgrounds. We start by discussing the concept of a Killing spinor, and how these are paramount to the process of classifying the aforementioned supersymmetric solutions. Moreover, these geometric objects also have applications when considered in different scenarios (the 'beyond' in the title). In particular, techniques based on a different parallelising rule for a spinorial field can be used for obtaining solutions to Einstein-Maxwell-De Sitter theories, as well as a (partial) classification of lorentzian Einstein-Weyl manifolds, a problem of geometrical interest. The annexe contain an introduction and summary in Spanish language. The appendices discuss the tensorial and spinorial conventions…
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Taxonomy
TopicsBlack Holes and Theoretical Physics · Cosmology and Gravitation Theories · Noncommutative and Quantum Gravity Theories
