Use this URL to cite or link to this record in EThOS: https://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.769962
Title: Aspects of M-branes in M-theory
Author: Owen, Miles Carson
Awarding Body: King's College London
Current Institution: King's College London (University of London)
Date of Award: 2019
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Abstract:
This thesis will present work completed throughout the course of my doctoral studies. The thesis primarily concerns developments in the theories of the M5-brane and systems of multiple M-branes in M-theory. Theories of multiple M2-branes are currently well understood, with the BLG and ABJM models providing a comprehensive and rich base from which to continue study of such objects. The M5-brane however remains shrouded in mystery. A basic multiplet for a single M5-brane is known but scant else directly; it is believed that the six-dimensional (2, 0) model describes the world-volume theory for multiple M5-branes, however this theory is itself poorly understood. There is therefore much work to be done to gain a deeper understanding of these objects and how they interact. This thesis hopes to be a small part of that story. In the first part of this thesis I provide an extended introduction, giving a broad background to many of the topics discussed later in the text. This is intended to set the scene and introduce the major players for what is to follow. I discuss the development of String Theory and its basic results including the spectrum, dualities, and D-branes. Interspersed are diversions into topics which are of relevance for the later work such as the notion of Kaluza-Klein compactification, BPS states, and solitons. I then discuss how String Theory leads inexorably to M-theory and discuss the basics of this new theory. Following this, I dive deeper into a detailed discussion of the BLG theory describing pairs of M2-branes. Next, I move into more recent and tentative models of multiple M-branes which emerge from attempts to extend the (2, 0) algebra to a non-abelian generalisation. This typically involves the addition of non-dynamical form fields into the model which allow for various different brane configuration interpretations. I then begin describing the novel systems which constitute my contribution to the field. Firstly, I show how the non-abelian extended (2, 0) theory has a natural sector within it which describes 'null' M2-branes. This system is analysed and is shown to reduce to motion on the moduli space of solutions to the Hitchin system. From this I then find an action for this system which provides a concrete example of a maximally symmetric non-Lorentzian field theory. Another such lagrangian is also found which comes from another extended (2, 0) system. Finally, I discuss a system of M5-branes wrapped on the multi-Taub-NUT geometry. This system has a natural string theory interpretation of intersecting D4 and D6-branes. Such a brane configuration is known to contain chiral fermions which propagate along the inter-section and which arise due to the open strings stretching between the branes. This picture has been previously poorly understood from the M-theory perspective; this work shows the M-theory origin of the chiral states and argues that they are described by a Wess-Zumino-Witten-like model.
Supervisor: Lambert, Neil Douglas ; Schafer-Nameki, Sakura Sponsor: Not available
Qualification Name: Thesis (Ph.D.) Qualification Level: Doctoral
EThOS ID: uk.bl.ethos.769962  DOI: Not available
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