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Phases of supersymmetric gauge theories and galois invariants
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Dell'Aquila, Eleonora. Phases of supersymmetric gauge theories and galois invariants. Retrieved from https://doi.org/doi:10.7282/T3ZS2X0N

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TitlePhases of supersymmetric gauge theories and galois invariants
NameDell'Aquila, Eleonora (author); Diaconescu, Duiliu-Emanuel (chair); Friedan, Daniel (internal member); Zamick, Larry (internal member); Glashausser, Charles (internal member); Pioline, Boris (outside member); Rutgers University; Graduate School-New Brunswick
Date Created2007
Other Date2007 (degree)
SubjectPhysics and Astronomy, Gauge fields (Physics), Symmetry (Physics), Group theory, Grand unified theories (Nuclear physics), Supersymmetry
Extentvii, 99 pages
DescriptionThis thesis deals with the problem of understanding the vacuum structure of supersymmetric gauge theories. More precisely, the theories considered here are N = 1 supersymmetric gauge theories obtained through breaking of part of the supersymmetry from N = 2 gauge theories. The space of vacua of these theories has a very interesting and rich structure, only partly understood. This work proposes a new point of view on this problem, conjecturing a relation between the classification of certain special phases of N = 1 supersymmetric gauge theories and the mathematical problem of classifying a certain kind of graphs - Grothendieck's "dessins s'enfants" - according to the corresponding Galois invariants. The Seiberg-Witten solution of the parent N = 2 theory plays a crucial role in establishing this correspondence.
NotePh.D.
NoteIncludes bibliographical references (p. 94-98).
Genretheses, ETD doctoral
Persistent URLhttps://doi.org/doi:10.7282/T3ZS2X0N
LanguageEnglish
CollectionGraduate School - New Brunswick Electronic Theses and Dissertations
Organization NameRutgers, The State University of New Jersey
RightsThe author owns the copyright to this work.
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