טכניון מכון טכנולוגי לישראל
הטכניון מכון טכנולוגי לישראל - בית הספר ללימודי מוסמכים  
Ph.D Thesis
Ph.D StudentAvraham Eran
SubjectNon-Perturbative Aspects of Supersymmetric Gauge Theories
DepartmentDepartment of Physics
Supervisor Professor Oren Bergman
Full Thesis textFull thesis text - English Version


Abstract

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.