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Monopoles, BPS states, and 't Hooft defects in 4D N = 2 theories of class S
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Brennan, Theodore Daniel. Monopoles, BPS states, and 't Hooft defects in 4D N = 2 theories of class S. Retrieved from https://doi.org/doi:10.7282/t3-0g6v-1e84

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TitleMonopoles, BPS states, and 't Hooft defects in 4D N = 2 theories of class S
NameBrennan, Theodore Daniel (author); Moore, Gregory W. (chair); Friedan, Daniel (internal member); Buckley, Matthew (internal member); Thomas, Scott (internal member); Cordova, Clay (outside member); Rutgers University; School of Graduate Studies
Date Created2019
Other Date2019-10 (degree)
SubjectMagnetic monopoles, Physics and Astronomy
Extent1 online resource (xii, 383 pages) : illustrations
DescriptionMonopoles are a fundamental feature of non-abelian gauge theories. They are relevant to the study of confinement and general non-perturbative quantum effects. In this dissertation we study some aspects of monopoles in supersymmetric non-abelian gauge theories. In particular, we focus primarily on 't Hooft defects (magnetically charged defects) and their interaction with smooth, supersymmetric monopoles. Here we use a semiclassical approximation to study the spectrum of bound states between such monopoles and 't Hooft defects and the phase transitions where this spectrum changes discontinuously. Then, we use string theory and localization techniques to compute the expectation value of 't Hooft defects as operators in the full quantum theory. Using the computed expectation value, we are able to directly study the non-perturbative process called monopole bubbling in which smooth monopoles dissolve into an 't Hooft defect. Then, by combining the results of string theory techniques with localization techniques, we are able to derive general formulas for the full spectrum of monopole bound states in all possible phases of the theory.
NotePh.D.
NoteIncludes bibliographical references
Genretheses, ETD doctoral
Persistent URLhttps://doi.org/doi:10.7282/t3-0g6v-1e84
LanguageEnglish
CollectionSchool of Graduate Studies Electronic Theses and Dissertations
Organization NameRutgers, The State University of New Jersey
RightsThe author owns the copyright to this work.
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