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,
SubjectPhysics and Astronomy,
Gauge fields (Physics),
Grand unified theories (Nuclear physics),
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.
Note[NULL] Includes bibliographical references (p. 94-98).
CollectionGraduate School - New Brunswick Electronic Theses and Dissertations
Organization NameRutgers, The State University of New Jersey
RightsThe author owns the copyright to this work.