|Ph.D Student||Avraham Eran|
|Subject||Non-Perturbative Aspects of Supersymmetric Gauge Theories|
|Department||Department of Physics||Supervisor||Professor Oren Bergman|
|Full Thesis text|
The interplay between string
theory and supersymmetric gauge theories has proven extremely useful over the
years, leading to many deep insights in both fields. In particular, string
theory constructions provide a geometric interpretation to numerous
non-perturbative aspects of supersymmetric gauge theories, such as dualities,
enhanced symmetries, moduli spaces and more. String theory has also been used
to the benefit of gauge theories via the celebrated AdS/CFT conjecture. This
thesis follows a similar line of action, focusing on non-pertubative aspects of
five and two-dimensional supersymmetric gauge theories using three main
ingredients, brane construction, AdS/CFT, and localization techniques.
The thesis consists of two parts.
The first part is on two-dimensional supersymmetric gauge theories and contains two chapters. Chapter one is about brane realization of (2,2) - theories with orthogonal and symplectic gauge groups. Chapter two is about new dualities between (4,4) - theories with orthogonal gauge groups.
The second part is devoted to five-dimensional supersymmetric gauge theories and also contains two chapters. The first chapter is on instanton counting. The second is about completing the AdS/CFT dictionary for a class of 5d gauge theories.