טכניון מכון טכנולוגי לישראל
הטכניון מכון טכנולוגי לישראל - בית הספר ללימודי מוסמכים  
M.Sc Thesis
M.Sc StudentGabi Zafrir
SubjectHolographic Phases of Matter in 3D from AdS/CFT
DepartmentDepartment of Physics
Supervisor Full Professor Bergman Oren
Full Thesis textFull thesis text - English Version


Abstract

This thesis is about generalizing the ABJM model and exploring its behavior at finite temperature. The ABJM model is an AdS/CFT model in which the field theory is three-dimensional. In it, the field theory is an  N=6 supersymmetric Chern-Simons matter theory, with a gauge group U(N)k X U(N)-k and with 2 pairs of chiral superfields, in the bifundamental and anti-bifundamental representations, respectively. The gravity side is M-theory in an AdS4 X S7/Zk background. Upon dimensional reduction the gravity side becomes type IIA string theory in an AdS4 X CP3 background.


One can include fundamental matter in the model by adding a D6 brane. I further generalize this to finite temperature, upon which a black hole is added to the AdS4. When that is done one finds that the theory has two possible phases, corresponding to two qualitatively different embeddings of the D6 brane.

I will show that there is a phase transition between the two. This describes a transition between a gapped phase and an ungapped phase in the field theory. This is further supported by calculating the meson spectrum for each embedding.