טכניון מכון טכנולוגי לישראל
הטכניון מכון טכנולוגי לישראל - בית הספר ללימודי מוסמכים  
Ph.D Thesis
Ph.D StudentZafrir Gabi
SubjectStudying 5D CFT's Using String Theory Methods
DepartmentDepartment of Physics
Supervisor Professor Oren Bergman
Full Thesis textFull thesis text - English Version


Abstract

The subject of this thesis is five dimensional gauge theories and their relation with 5d SCFTs, string theory, and conformal theories in other dimensions. Particularly, minimally supersymmetric 5d gauge theories are known to be in some cases low-energy descriptions of 5d SCFTs, and in some cases also 6d SCFTs. This behavior in turn leads to interesting non-perturbative phenomena on one hand and on the other to peculiar relations between seemingly different theories. The study of these phenomena using a variety of techniques, utilizing supersymmetry, comprise a major part of this thesis. Another important element is the connection of the dynamics of 5d gauge theories with string theory through the embedding of the former in the later through brane dynamics.


The final central element of this thesis is the connection of 5d gauge dynamics with the behavior of superconformal theories in other dimensions, notably four and six. The connection with 6d SCFTs arises as their compactification on a circle leads at low-energy to 5d gauge theories. This relation leads to a variety of interesting phenomena similar to those encountered with 5d gauge theories that are low-energy description of 5d SCFTs. Alternatively, we can compactify a 5d SCFT on a circle which in some cases leads to interesting 4d SCFTs. Then the various phenomena, studied in this thesis, may have interesting implication on the resulting 4d theories. Both of these subjects will also play a lead role in various parts of this thesis.