RUcore Resource Object
RUcore Resource Object
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Uniform 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,
Degree Date2007
Date Created2007
SubjectPhysics and Astronomy,
Gauge fields (Physics),
Symmetry (Physics),
Group theory,
Grand unified theories (Nuclear physics),
Supersymmetry
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.
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.
Note[degree] Ph.D.
Note[NULL] Includes bibliographical references (p. 94-98).
Genretheses
Persistent URLhttp://hdl.rutgers.edu/1782.2/rucore10001600001.ETD.13457
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.