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Title: The cores of Seiberg-Witten theory
Author: Taylor, B. J.
Awarding Body: University of Wales Swansea
Current Institution: Swansea University
Date of Award: 2001
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In this thesis we study the BPS spectra of Wilsonian low energy effective N = 2 supersymmetric Yang-Mills gauge theory with gauge group SU(3). We formulate a consistent picture of the moduli space of supersymmetric vacua of the theory. This entails the moduli space being partitioned by curves of marginal stability, the topology of which we describe. We list the charges of the BPS states present within each region, and how these transform under the monodromy group as they pass through branch cuts which lie between singularities in the space. We postulate the existence of cores at places where one of the two residual U(1) gauge symmetries is strongly coupled. Within these cores exist a smaller BPS spectrum. Moreover, we also study double cores where both U(1)'s are strongly coupled. We show that within these regions the theory has a finite number of BPS states, consisting of states which become massless on a nearby singularity, together with three BPS glueballs - bound states of two different massive gauge bosons - plus two other states not present in the spectrum at weak coupling.
Supervisor: Not available Sponsor: Not available
Qualification Name: Thesis (Ph.D.) Qualification Level: Doctoral
EThOS ID:  DOI: Not available